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Finding the Third Proportional to 77,368 and 104,386

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Solution

The third proportional to 77,368 and 104,386 is: 140,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,368 : 104,386 = 104,386 : x
  2. Step 2: Convert to fraction form
    77,368/104,386 = 104,386/x
  3. Step 3: Cross multiply
    77,368x = 104,386 × 104,386
  4. Step 4: Simplify right side
    77,368x = 10,896,436,996
  5. Step 5: Solve for x
    x = 10,896,436,996/77,368
  6. Step 6: Final answer
    x = 140,839.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.