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Finding the Third Proportional to 103,432,289 and 154,251,490

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Solution

The third proportional to 103,432,289 and 154,251,490 is: 230,039,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,432,289 : 154,251,490 = 154,251,490 : x
  2. Step 2: Convert to fraction form
    103,432,289/154,251,490 = 154,251,490/x
  3. Step 3: Cross multiply
    103,432,289x = 154,251,490 × 154,251,490
  4. Step 4: Simplify right side
    103,432,289x = 23,793,522,167,220,100
  5. Step 5: Solve for x
    x = 23,793,522,167,220,100/103,432,289
  6. Step 6: Final answer
    x = 230,039,597.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.