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Finding the Third Proportional to 317,574 and 686,988

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Solution

The third proportional to 317,574 and 686,988 is: 1,486,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,574 : 686,988 = 686,988 : x
  2. Step 2: Convert to fraction form
    317,574/686,988 = 686,988/x
  3. Step 3: Cross multiply
    317,574x = 686,988 × 686,988
  4. Step 4: Simplify right side
    317,574x = 471,952,512,144
  5. Step 5: Solve for x
    x = 471,952,512,144/317,574
  6. Step 6: Final answer
    x = 1,486,118.23

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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.