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Finding the Third Proportional to 137,755.50 and 212,774.25

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Solution

The third proportional to 137,755.50 and 212,774.25 is: 328,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,755.50 : 212,774.25 = 212,774.25 : x
  2. Step 2: Convert to fraction form
    137,755.50/212,774.25 = 212,774.25/x
  3. Step 3: Cross multiply
    137,755.50x = 212,774.25 × 212,774.25
  4. Step 4: Simplify right side
    137,755.50x = 45,272,881,463.06
  5. Step 5: Solve for x
    x = 45,272,881,463.06/137,755.50
  6. Step 6: Final answer
    x = 328,646.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.