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Finding the Third Proportional to 488,004.75 and 729,415.13

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Solution

The third proportional to 488,004.75 and 729,415.13 is: 1,090,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,004.75 : 729,415.13 = 729,415.13 : x
  2. Step 2: Convert to fraction form
    488,004.75/729,415.13 = 729,415.13/x
  3. Step 3: Cross multiply
    488,004.75x = 729,415.13 × 729,415.13
  4. Step 4: Simplify right side
    488,004.75x = 532,046,424,578.77
  5. Step 5: Solve for x
    x = 532,046,424,578.77/488,004.75
  6. Step 6: Final answer
    x = 1,090,248.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.