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Finding the Third Proportional to 77,246 and 103,461

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Solution

The third proportional to 77,246 and 103,461 is: 138,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,246 : 103,461 = 103,461 : x
  2. Step 2: Convert to fraction form
    77,246/103,461 = 103,461/x
  3. Step 3: Cross multiply
    77,246x = 103,461 × 103,461
  4. Step 4: Simplify right side
    77,246x = 10,704,178,521
  5. Step 5: Solve for x
    x = 10,704,178,521/77,246
  6. Step 6: Final answer
    x = 138,572.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.