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Finding the Third Proportional to 66,151.50 and 142,914

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Solution

The third proportional to 66,151.50 and 142,914 is: 308,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,151.50 : 142,914 = 142,914 : x
  2. Step 2: Convert to fraction form
    66,151.50/142,914 = 142,914/x
  3. Step 3: Cross multiply
    66,151.50x = 142,914 × 142,914
  4. Step 4: Simplify right side
    66,151.50x = 20,424,411,396
  5. Step 5: Solve for x
    x = 20,424,411,396/66,151.50
  6. Step 6: Final answer
    x = 308,752.05

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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.