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Finding the Third Proportional to 15,359 and 21,931

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Solution

The third proportional to 15,359 and 21,931 is: 31,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,359 : 21,931 = 21,931 : x
  2. Step 2: Convert to fraction form
    15,359/21,931 = 21,931/x
  3. Step 3: Cross multiply
    15,359x = 21,931 × 21,931
  4. Step 4: Simplify right side
    15,359x = 480,968,761
  5. Step 5: Solve for x
    x = 480,968,761/15,359
  6. Step 6: Final answer
    x = 31,315.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.