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Finding the Third Proportional to 459,648 and 686,708

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Solution

The third proportional to 459,648 and 686,708 is: 1,025,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,648 : 686,708 = 686,708 : x
  2. Step 2: Convert to fraction form
    459,648/686,708 = 686,708/x
  3. Step 3: Cross multiply
    459,648x = 686,708 × 686,708
  4. Step 4: Simplify right side
    459,648x = 471,567,877,264
  5. Step 5: Solve for x
    x = 471,567,877,264/459,648
  6. Step 6: Final answer
    x = 1,025,932.62

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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.