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Finding the Third Proportional to 312,428 and 686,295

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Solution

The third proportional to 312,428 and 686,295 is: 1,507,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,428 : 686,295 = 686,295 : x
  2. Step 2: Convert to fraction form
    312,428/686,295 = 686,295/x
  3. Step 3: Cross multiply
    312,428x = 686,295 × 686,295
  4. Step 4: Simplify right side
    312,428x = 471,000,827,025
  5. Step 5: Solve for x
    x = 471,000,827,025/312,428
  6. Step 6: Final answer
    x = 1,507,549.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.