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Finding the Third Proportional to 120,011,342 and 261,828,262

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Solution

The third proportional to 120,011,342 and 261,828,262 is: 571,229,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,011,342 : 261,828,262 = 261,828,262 : x
  2. Step 2: Convert to fraction form
    120,011,342/261,828,262 = 261,828,262/x
  3. Step 3: Cross multiply
    120,011,342x = 261,828,262 × 261,828,262
  4. Step 4: Simplify right side
    120,011,342x = 68,554,038,781,940,640
  5. Step 5: Solve for x
    x = 68,554,038,781,940,640/120,011,342
  6. Step 6: Final answer
    x = 571,229,665.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.