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Finding the Third Proportional to 77,480 and 119,724

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Solution

The third proportional to 77,480 and 119,724 is: 185,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,480 : 119,724 = 119,724 : x
  2. Step 2: Convert to fraction form
    77,480/119,724 = 119,724/x
  3. Step 3: Cross multiply
    77,480x = 119,724 × 119,724
  4. Step 4: Simplify right side
    77,480x = 14,333,836,176
  5. Step 5: Solve for x
    x = 14,333,836,176/77,480
  6. Step 6: Final answer
    x = 185,000.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.