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Finding the Third Proportional to 145,253.25 and 318,542.63

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Solution

The third proportional to 145,253.25 and 318,542.63 is: 698,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,253.25 : 318,542.63 = 318,542.63 : x
  2. Step 2: Convert to fraction form
    145,253.25/318,542.63 = 318,542.63/x
  3. Step 3: Cross multiply
    145,253.25x = 318,542.63 × 318,542.63
  4. Step 4: Simplify right side
    145,253.25x = 101,469,403,941.89
  5. Step 5: Solve for x
    x = 101,469,403,941.89/145,253.25
  6. Step 6: Final answer
    x = 698,568.91

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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.