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Finding the Third Proportional to 356,238 and 510,291

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Solution

The third proportional to 356,238 and 510,291 is: 730,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,238 : 510,291 = 510,291 : x
  2. Step 2: Convert to fraction form
    356,238/510,291 = 510,291/x
  3. Step 3: Cross multiply
    356,238x = 510,291 × 510,291
  4. Step 4: Simplify right side
    356,238x = 260,396,904,681
  5. Step 5: Solve for x
    x = 260,396,904,681/356,238
  6. Step 6: Final answer
    x = 730,963.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.