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Finding the Third Proportional to 491,411 and 720,781

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Solution

The third proportional to 491,411 and 720,781 is: 1,057,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,411 : 720,781 = 720,781 : x
  2. Step 2: Convert to fraction form
    491,411/720,781 = 720,781/x
  3. Step 3: Cross multiply
    491,411x = 720,781 × 720,781
  4. Step 4: Simplify right side
    491,411x = 519,525,249,961
  5. Step 5: Solve for x
    x = 519,525,249,961/491,411
  6. Step 6: Final answer
    x = 1,057,211.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.