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Finding the Third Proportional to 189,441,677,890 and 421,239,523,460

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Solution

The third proportional to 189,441,677,890 and 421,239,523,460 is: 936,661,552,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,441,677,890 : 421,239,523,460 = 421,239,523,460 : x
  2. Step 2: Convert to fraction form
    189,441,677,890/421,239,523,460 = 421,239,523,460/x
  3. Step 3: Cross multiply
    189,441,677,890x = 421,239,523,460 × 421,239,523,460
  4. Step 4: Simplify right side
    189,441,677,890x = 177,442,736,124,807,891,386,368
  5. Step 5: Solve for x
    x = 177,442,736,124,807,891,386,368/189,441,677,890
  6. Step 6: Final answer
    x = 936,661,552,521.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.