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Finding the Third Proportional to 318,656 and 432,988

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Solution

The third proportional to 318,656 and 432,988 is: 588,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,656 : 432,988 = 432,988 : x
  2. Step 2: Convert to fraction form
    318,656/432,988 = 432,988/x
  3. Step 3: Cross multiply
    318,656x = 432,988 × 432,988
  4. Step 4: Simplify right side
    318,656x = 187,478,608,144
  5. Step 5: Solve for x
    x = 187,478,608,144/318,656
  6. Step 6: Final answer
    x = 588,341.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.