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Finding the Third Proportional to 473,442.50 and 639,859.75

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Solution

The third proportional to 473,442.50 and 639,859.75 is: 864,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,442.50 : 639,859.75 = 639,859.75 : x
  2. Step 2: Convert to fraction form
    473,442.50/639,859.75 = 639,859.75/x
  3. Step 3: Cross multiply
    473,442.50x = 639,859.75 × 639,859.75
  4. Step 4: Simplify right side
    473,442.50x = 409,420,499,670.06
  5. Step 5: Solve for x
    x = 409,420,499,670.06/473,442.50
  6. Step 6: Final answer
    x = 864,773.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.