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Finding the Third Proportional to 55,778,680 and 81,527,406

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Solution

The third proportional to 55,778,680 and 81,527,406 is: 119,162,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,778,680 : 81,527,406 = 81,527,406 : x
  2. Step 2: Convert to fraction form
    55,778,680/81,527,406 = 81,527,406/x
  3. Step 3: Cross multiply
    55,778,680x = 81,527,406 × 81,527,406
  4. Step 4: Simplify right side
    55,778,680x = 6,646,717,929,088,836
  5. Step 5: Solve for x
    x = 6,646,717,929,088,836/55,778,680
  6. Step 6: Final answer
    x = 119,162,338.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.