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Finding the Third Proportional to 478,913 and 720,381

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Solution

The third proportional to 478,913 and 720,381 is: 1,083,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,913 : 720,381 = 720,381 : x
  2. Step 2: Convert to fraction form
    478,913/720,381 = 720,381/x
  3. Step 3: Cross multiply
    478,913x = 720,381 × 720,381
  4. Step 4: Simplify right side
    478,913x = 518,948,785,161
  5. Step 5: Solve for x
    x = 518,948,785,161/478,913
  6. Step 6: Final answer
    x = 1,083,597.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.