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Finding the Third Proportional to 86,004 and 129,510

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Solution

The third proportional to 86,004 and 129,510 is: 195,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,004 : 129,510 = 129,510 : x
  2. Step 2: Convert to fraction form
    86,004/129,510 = 129,510/x
  3. Step 3: Cross multiply
    86,004x = 129,510 × 129,510
  4. Step 4: Simplify right side
    86,004x = 16,772,840,100
  5. Step 5: Solve for x
    x = 16,772,840,100/86,004
  6. Step 6: Final answer
    x = 195,023.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.