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Finding the Third Proportional to 61,420.15 and 133,651.90

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Solution

The third proportional to 61,420.15 and 133,651.90 is: 290,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,420.15 : 133,651.90 = 133,651.90 : x
  2. Step 2: Convert to fraction form
    61,420.15/133,651.90 = 133,651.90/x
  3. Step 3: Cross multiply
    61,420.15x = 133,651.90 × 133,651.90
  4. Step 4: Simplify right side
    61,420.15x = 17,862,829,955.95
  5. Step 5: Solve for x
    x = 17,862,829,955.95/61,420.15
  6. Step 6: Final answer
    x = 290,830.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.