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Finding the Third Proportional to 64,439 and 141,959

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Solution

The third proportional to 64,439 and 141,959 is: 312,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,439 : 141,959 = 141,959 : x
  2. Step 2: Convert to fraction form
    64,439/141,959 = 141,959/x
  3. Step 3: Cross multiply
    64,439x = 141,959 × 141,959
  4. Step 4: Simplify right side
    64,439x = 20,152,357,681
  5. Step 5: Solve for x
    x = 20,152,357,681/64,439
  6. Step 6: Final answer
    x = 312,735.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.