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Finding the Third Proportional to 318,588 and 497,238

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Solution

The third proportional to 318,588 and 497,238 is: 776,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,588 : 497,238 = 497,238 : x
  2. Step 2: Convert to fraction form
    318,588/497,238 = 497,238/x
  3. Step 3: Cross multiply
    318,588x = 497,238 × 497,238
  4. Step 4: Simplify right side
    318,588x = 247,245,628,644
  5. Step 5: Solve for x
    x = 247,245,628,644/318,588
  6. Step 6: Final answer
    x = 776,066.99

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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.