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Finding the Third Proportional to 67,451 and 145,709

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Solution

The third proportional to 67,451 and 145,709 is: 314,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,451 : 145,709 = 145,709 : x
  2. Step 2: Convert to fraction form
    67,451/145,709 = 145,709/x
  3. Step 3: Cross multiply
    67,451x = 145,709 × 145,709
  4. Step 4: Simplify right side
    67,451x = 21,231,112,681
  5. Step 5: Solve for x
    x = 21,231,112,681/67,451
  6. Step 6: Final answer
    x = 314,763.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.