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Finding the Third Proportional to 320,724 and 488,646

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Solution

The third proportional to 320,724 and 488,646 is: 744,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,724 : 488,646 = 488,646 : x
  2. Step 2: Convert to fraction form
    320,724/488,646 = 488,646/x
  3. Step 3: Cross multiply
    320,724x = 488,646 × 488,646
  4. Step 4: Simplify right side
    320,724x = 238,774,913,316
  5. Step 5: Solve for x
    x = 238,774,913,316/320,724
  6. Step 6: Final answer
    x = 744,487.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.