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Finding the Third Proportional to 77,408 and 119,136

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Solution

The third proportional to 77,408 and 119,136 is: 183,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408 : 119,136 = 119,136 : x
  2. Step 2: Convert to fraction form
    77,408/119,136 = 119,136/x
  3. Step 3: Cross multiply
    77,408x = 119,136 × 119,136
  4. Step 4: Simplify right side
    77,408x = 14,193,386,496
  5. Step 5: Solve for x
    x = 14,193,386,496/77,408
  6. Step 6: Final answer
    x = 183,358.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.