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Finding the Third Proportional to 8,470 and 12,959

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Solution

The third proportional to 8,470 and 12,959 is: 19,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470 : 12,959 = 12,959 : x
  2. Step 2: Convert to fraction form
    8,470/12,959 = 12,959/x
  3. Step 3: Cross multiply
    8,470x = 12,959 × 12,959
  4. Step 4: Simplify right side
    8,470x = 167,935,681
  5. Step 5: Solve for x
    x = 167,935,681/8,470
  6. Step 6: Final answer
    x = 19,827.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.