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Finding the Third Proportional to 312,766.31 and 686,426.91

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Solution

The third proportional to 312,766.31 and 686,426.91 is: 1,506,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,766.31 : 686,426.91 = 686,426.91 : x
  2. Step 2: Convert to fraction form
    312,766.31/686,426.91 = 686,426.91/x
  3. Step 3: Cross multiply
    312,766.31x = 686,426.91 × 686,426.91
  4. Step 4: Simplify right side
    312,766.31x = 471,181,897,623.95
  5. Step 5: Solve for x
    x = 471,181,897,623.95/312,766.31
  6. Step 6: Final answer
    x = 1,506,498.23

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Why These Related Problems?

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