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Finding the Third Proportional to 457,217.50 and 710,738.25

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Solution

The third proportional to 457,217.50 and 710,738.25 is: 1,104,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,217.50 : 710,738.25 = 710,738.25 : x
  2. Step 2: Convert to fraction form
    457,217.50/710,738.25 = 710,738.25/x
  3. Step 3: Cross multiply
    457,217.50x = 710,738.25 × 710,738.25
  4. Step 4: Simplify right side
    457,217.50x = 505,148,860,013.06
  5. Step 5: Solve for x
    x = 505,148,860,013.06/457,217.50
  6. Step 6: Final answer
    x = 1,104,832.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.