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Finding the Third Proportional to 251,032 and 391,368

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Solution

The third proportional to 251,032 and 391,368 is: 610,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,032 : 391,368 = 391,368 : x
  2. Step 2: Convert to fraction form
    251,032/391,368 = 391,368/x
  3. Step 3: Cross multiply
    251,032x = 391,368 × 391,368
  4. Step 4: Simplify right side
    251,032x = 153,168,911,424
  5. Step 5: Solve for x
    x = 153,168,911,424/251,032
  6. Step 6: Final answer
    x = 610,156.92

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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.