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Finding the Third Proportional to 31,490 and 49,403

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Solution

The third proportional to 31,490 and 49,403 is: 77,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490 : 49,403 = 49,403 : x
  2. Step 2: Convert to fraction form
    31,490/49,403 = 49,403/x
  3. Step 3: Cross multiply
    31,490x = 49,403 × 49,403
  4. Step 4: Simplify right side
    31,490x = 2,440,656,409
  5. Step 5: Solve for x
    x = 2,440,656,409/31,490
  6. Step 6: Final answer
    x = 77,505.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.