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Finding the Third Proportional to 503,730 and 698,161.50

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Solution

The third proportional to 503,730 and 698,161.50 is: 967,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,730 : 698,161.50 = 698,161.50 : x
  2. Step 2: Convert to fraction form
    503,730/698,161.50 = 698,161.50/x
  3. Step 3: Cross multiply
    503,730x = 698,161.50 × 698,161.50
  4. Step 4: Simplify right side
    503,730x = 487,429,480,082.25
  5. Step 5: Solve for x
    x = 487,429,480,082.25/503,730
  6. Step 6: Final answer
    x = 967,640.36

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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.