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Finding the Third Proportional to 318,460 and 497,069

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Solution

The third proportional to 318,460 and 497,069 is: 775,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,460 : 497,069 = 497,069 : x
  2. Step 2: Convert to fraction form
    318,460/497,069 = 497,069/x
  3. Step 3: Cross multiply
    318,460x = 497,069 × 497,069
  4. Step 4: Simplify right side
    318,460x = 247,077,590,761
  5. Step 5: Solve for x
    x = 247,077,590,761/318,460
  6. Step 6: Final answer
    x = 775,851.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.