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Finding the Third Proportional to 99,040 and 153,420

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Solution

The third proportional to 99,040 and 153,420 is: 237,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,040 : 153,420 = 153,420 : x
  2. Step 2: Convert to fraction form
    99,040/153,420 = 153,420/x
  3. Step 3: Cross multiply
    99,040x = 153,420 × 153,420
  4. Step 4: Simplify right side
    99,040x = 23,537,696,400
  5. Step 5: Solve for x
    x = 23,537,696,400/99,040
  6. Step 6: Final answer
    x = 237,658.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.