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Finding the Third Proportional to 118,971 and 257,542.50

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Solution

The third proportional to 118,971 and 257,542.50 is: 557,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971 : 257,542.50 = 257,542.50 : x
  2. Step 2: Convert to fraction form
    118,971/257,542.50 = 257,542.50/x
  3. Step 3: Cross multiply
    118,971x = 257,542.50 × 257,542.50
  4. Step 4: Simplify right side
    118,971x = 66,328,139,306.25
  5. Step 5: Solve for x
    x = 66,328,139,306.25/118,971
  6. Step 6: Final answer
    x = 557,515.19

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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.