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Finding the Third Proportional to 12,490 and 15,791

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Solution

The third proportional to 12,490 and 15,791 is: 19,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490 : 15,791 = 15,791 : x
  2. Step 2: Convert to fraction form
    12,490/15,791 = 15,791/x
  3. Step 3: Cross multiply
    12,490x = 15,791 × 15,791
  4. Step 4: Simplify right side
    12,490x = 249,355,681
  5. Step 5: Solve for x
    x = 249,355,681/12,490
  6. Step 6: Final answer
    x = 19,964.43

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.