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Finding the Third Proportional to 209,687,107.50 and 312,712,281

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Solution

The third proportional to 209,687,107.50 and 312,712,281 is: 466,356,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,687,107.50 : 312,712,281 = 312,712,281 : x
  2. Step 2: Convert to fraction form
    209,687,107.50/312,712,281 = 312,712,281/x
  3. Step 3: Cross multiply
    209,687,107.50x = 312,712,281 × 312,712,281
  4. Step 4: Simplify right side
    209,687,107.50x = 97,788,970,688,222,960
  5. Step 5: Solve for x
    x = 97,788,970,688,222,960/209,687,107.50
  6. Step 6: Final answer
    x = 466,356,619.89

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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.