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Finding the Third Proportional to 65,428 and 87,006

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Solution

The third proportional to 65,428 and 87,006 is: 115,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,428 : 87,006 = 87,006 : x
  2. Step 2: Convert to fraction form
    65,428/87,006 = 87,006/x
  3. Step 3: Cross multiply
    65,428x = 87,006 × 87,006
  4. Step 4: Simplify right side
    65,428x = 7,570,044,036
  5. Step 5: Solve for x
    x = 7,570,044,036/65,428
  6. Step 6: Final answer
    x = 115,700.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.