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Finding the Third Proportional to 64,442 and 141,970

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Solution

The third proportional to 64,442 and 141,970 is: 312,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,442 : 141,970 = 141,970 : x
  2. Step 2: Convert to fraction form
    64,442/141,970 = 141,970/x
  3. Step 3: Cross multiply
    64,442x = 141,970 × 141,970
  4. Step 4: Simplify right side
    64,442x = 20,155,480,900
  5. Step 5: Solve for x
    x = 20,155,480,900/64,442
  6. Step 6: Final answer
    x = 312,769.33

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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.