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Finding the Third Proportional to 657,480.38 and 890,964.56

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Solution

The third proportional to 657,480.38 and 890,964.56 is: 1,207,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,480.38 : 890,964.56 = 890,964.56 : x
  2. Step 2: Convert to fraction form
    657,480.38/890,964.56 = 890,964.56/x
  3. Step 3: Cross multiply
    657,480.38x = 890,964.56 × 890,964.56
  4. Step 4: Simplify right side
    657,480.38x = 793,817,851,630.82
  5. Step 5: Solve for x
    x = 793,817,851,630.82/657,480.38
  6. Step 6: Final answer
    x = 1,207,363.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.