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Finding the Third Proportional to 55,970 and 87,359

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Solution

The third proportional to 55,970 and 87,359 is: 136,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970 : 87,359 = 87,359 : x
  2. Step 2: Convert to fraction form
    55,970/87,359 = 87,359/x
  3. Step 3: Cross multiply
    55,970x = 87,359 × 87,359
  4. Step 4: Simplify right side
    55,970x = 7,631,594,881
  5. Step 5: Solve for x
    x = 7,631,594,881/55,970
  6. Step 6: Final answer
    x = 136,351.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.