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Finding the Third Proportional to 877,689 and 1,310,791.50

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Solution

The third proportional to 877,689 and 1,310,791.50 is: 1,957,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,689 : 1,310,791.50 = 1,310,791.50 : x
  2. Step 2: Convert to fraction form
    877,689/1,310,791.50 = 1,310,791.50/x
  3. Step 3: Cross multiply
    877,689x = 1,310,791.50 × 1,310,791.50
  4. Step 4: Simplify right side
    877,689x = 1,718,174,356,472.25
  5. Step 5: Solve for x
    x = 1,718,174,356,472.25/877,689
  6. Step 6: Final answer
    x = 1,957,611.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.