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Finding the Third Proportional to 145,206.50 and 314,542

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Solution

The third proportional to 145,206.50 and 314,542 is: 681,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,206.50 : 314,542 = 314,542 : x
  2. Step 2: Convert to fraction form
    145,206.50/314,542 = 314,542/x
  3. Step 3: Cross multiply
    145,206.50x = 314,542 × 314,542
  4. Step 4: Simplify right side
    145,206.50x = 98,936,669,764
  5. Step 5: Solve for x
    x = 98,936,669,764/145,206.50
  6. Step 6: Final answer
    x = 681,351.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.