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Finding the Third Proportional to 87,723 and 128,030.63

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Solution

The third proportional to 87,723 and 128,030.63 is: 186,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,723 : 128,030.63 = 128,030.63 : x
  2. Step 2: Convert to fraction form
    87,723/128,030.63 = 128,030.63/x
  3. Step 3: Cross multiply
    87,723x = 128,030.63 × 128,030.63
  4. Step 4: Simplify right side
    87,723x = 16,391,840,937.89
  5. Step 5: Solve for x
    x = 16,391,840,937.89/87,723
  6. Step 6: Final answer
    x = 186,859.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.