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Finding the Third Proportional to 352,210 and 686,772

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Solution

The third proportional to 352,210 and 686,772 is: 1,339,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,210 : 686,772 = 686,772 : x
  2. Step 2: Convert to fraction form
    352,210/686,772 = 686,772/x
  3. Step 3: Cross multiply
    352,210x = 686,772 × 686,772
  4. Step 4: Simplify right side
    352,210x = 471,655,779,984
  5. Step 5: Solve for x
    x = 471,655,779,984/352,210
  6. Step 6: Final answer
    x = 1,339,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.