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Finding the Third Proportional to 142,957 and 209,659

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Solution

The third proportional to 142,957 and 209,659 is: 307,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,957 : 209,659 = 209,659 : x
  2. Step 2: Convert to fraction form
    142,957/209,659 = 209,659/x
  3. Step 3: Cross multiply
    142,957x = 209,659 × 209,659
  4. Step 4: Simplify right side
    142,957x = 43,956,896,281
  5. Step 5: Solve for x
    x = 43,956,896,281/142,957
  6. Step 6: Final answer
    x = 307,483.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.