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Finding the Third Proportional to 503,721 and 698,157

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Solution

The third proportional to 503,721 and 698,157 is: 967,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,721 : 698,157 = 698,157 : x
  2. Step 2: Convert to fraction form
    503,721/698,157 = 698,157/x
  3. Step 3: Cross multiply
    503,721x = 698,157 × 698,157
  4. Step 4: Simplify right side
    503,721x = 487,423,196,649
  5. Step 5: Solve for x
    x = 487,423,196,649/503,721
  6. Step 6: Final answer
    x = 967,645.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.