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Finding the Third Proportional to 251,345.53 and 351,590.63

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Solution

The third proportional to 251,345.53 and 351,590.63 is: 491,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,345.53 : 351,590.63 = 351,590.63 : x
  2. Step 2: Convert to fraction form
    251,345.53/351,590.63 = 351,590.63/x
  3. Step 3: Cross multiply
    251,345.53x = 351,590.63 × 351,590.63
  4. Step 4: Simplify right side
    251,345.53x = 123,615,967,587.89
  5. Step 5: Solve for x
    x = 123,615,967,587.89/251,345.53
  6. Step 6: Final answer
    x = 491,816.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.