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Finding the Third Proportional to 317,332.50 and 686,913

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Solution

The third proportional to 317,332.50 and 686,913 is: 1,486,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,332.50 : 686,913 = 686,913 : x
  2. Step 2: Convert to fraction form
    317,332.50/686,913 = 686,913/x
  3. Step 3: Cross multiply
    317,332.50x = 686,913 × 686,913
  4. Step 4: Simplify right side
    317,332.50x = 471,849,469,569
  5. Step 5: Solve for x
    x = 471,849,469,569/317,332.50
  6. Step 6: Final answer
    x = 1,486,924.50

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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.