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Finding the Third Proportional to 832,497 and 1,245,404.50

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Solution

The third proportional to 832,497 and 1,245,404.50 is: 1,863,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,497 : 1,245,404.50 = 1,245,404.50 : x
  2. Step 2: Convert to fraction form
    832,497/1,245,404.50 = 1,245,404.50/x
  3. Step 3: Cross multiply
    832,497x = 1,245,404.50 × 1,245,404.50
  4. Step 4: Simplify right side
    832,497x = 1,551,032,368,620.25
  5. Step 5: Solve for x
    x = 1,551,032,368,620.25/832,497
  6. Step 6: Final answer
    x = 1,863,108.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.