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Finding the Third Proportional to 58,128 and 87,108

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Solution

The third proportional to 58,128 and 87,108 is: 130,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,128 : 87,108 = 87,108 : x
  2. Step 2: Convert to fraction form
    58,128/87,108 = 87,108/x
  3. Step 3: Cross multiply
    58,128x = 87,108 × 87,108
  4. Step 4: Simplify right side
    58,128x = 7,587,803,664
  5. Step 5: Solve for x
    x = 7,587,803,664/58,128
  6. Step 6: Final answer
    x = 130,536.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.