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Finding the Third Proportional to 66,528 and 145,387.50

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Solution

The third proportional to 66,528 and 145,387.50 is: 317,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,528 : 145,387.50 = 145,387.50 : x
  2. Step 2: Convert to fraction form
    66,528/145,387.50 = 145,387.50/x
  3. Step 3: Cross multiply
    66,528x = 145,387.50 × 145,387.50
  4. Step 4: Simplify right side
    66,528x = 21,137,525,156.25
  5. Step 5: Solve for x
    x = 21,137,525,156.25/66,528
  6. Step 6: Final answer
    x = 317,723.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.