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Finding the Third Proportional to 318,590 and 497,241

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Solution

The third proportional to 318,590 and 497,241 is: 776,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,590 : 497,241 = 497,241 : x
  2. Step 2: Convert to fraction form
    318,590/497,241 = 497,241/x
  3. Step 3: Cross multiply
    318,590x = 497,241 × 497,241
  4. Step 4: Simplify right side
    318,590x = 247,248,612,081
  5. Step 5: Solve for x
    x = 247,248,612,081/318,590
  6. Step 6: Final answer
    x = 776,071.48

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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.