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Finding the Third Proportional to 407,234 and 535,520

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Solution

The third proportional to 407,234 and 535,520 is: 704,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,234 : 535,520 = 535,520 : x
  2. Step 2: Convert to fraction form
    407,234/535,520 = 535,520/x
  3. Step 3: Cross multiply
    407,234x = 535,520 × 535,520
  4. Step 4: Simplify right side
    407,234x = 286,781,670,400
  5. Step 5: Solve for x
    x = 286,781,670,400/407,234
  6. Step 6: Final answer
    x = 704,218.39

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.