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Finding the Third Proportional to 612,701.72 and 809,019.14

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Solution

The third proportional to 612,701.72 and 809,019.14 is: 1,068,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,701.72 : 809,019.14 = 809,019.14 : x
  2. Step 2: Convert to fraction form
    612,701.72/809,019.14 = 809,019.14/x
  3. Step 3: Cross multiply
    612,701.72x = 809,019.14 × 809,019.14
  4. Step 4: Simplify right side
    612,701.72x = 654,511,969,897.61
  5. Step 5: Solve for x
    x = 654,511,969,897.61/612,701.72
  6. Step 6: Final answer
    x = 1,068,239.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.