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Finding the Third Proportional to 407,720 and 587,280

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Solution

The third proportional to 407,720 and 587,280 is: 845,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,720 : 587,280 = 587,280 : x
  2. Step 2: Convert to fraction form
    407,720/587,280 = 587,280/x
  3. Step 3: Cross multiply
    407,720x = 587,280 × 587,280
  4. Step 4: Simplify right side
    407,720x = 344,897,798,400
  5. Step 5: Solve for x
    x = 344,897,798,400/407,720
  6. Step 6: Final answer
    x = 845,918.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.