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Finding the Third Proportional to 71,428 and 102,040

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Solution

The third proportional to 71,428 and 102,040 is: 145,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428 : 102,040 = 102,040 : x
  2. Step 2: Convert to fraction form
    71,428/102,040 = 102,040/x
  3. Step 3: Cross multiply
    71,428x = 102,040 × 102,040
  4. Step 4: Simplify right side
    71,428x = 10,412,161,600
  5. Step 5: Solve for x
    x = 10,412,161,600/71,428
  6. Step 6: Final answer
    x = 145,771.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.