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Finding the Third Proportional to 140,446 and 307,167.50

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Solution

The third proportional to 140,446 and 307,167.50 is: 671,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,446 : 307,167.50 = 307,167.50 : x
  2. Step 2: Convert to fraction form
    140,446/307,167.50 = 307,167.50/x
  3. Step 3: Cross multiply
    140,446x = 307,167.50 × 307,167.50
  4. Step 4: Simplify right side
    140,446x = 94,351,873,056.25
  5. Step 5: Solve for x
    x = 94,351,873,056.25/140,446
  6. Step 6: Final answer
    x = 671,801.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.