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Finding the Third Proportional to 317,354 and 686,952

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Solution

The third proportional to 317,354 and 686,952 is: 1,486,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,354 : 686,952 = 686,952 : x
  2. Step 2: Convert to fraction form
    317,354/686,952 = 686,952/x
  3. Step 3: Cross multiply
    317,354x = 686,952 × 686,952
  4. Step 4: Simplify right side
    317,354x = 471,903,050,304
  5. Step 5: Solve for x
    x = 471,903,050,304/317,354
  6. Step 6: Final answer
    x = 1,486,992.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.