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Finding the Third Proportional to 77,101 and 112,369

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Solution

The third proportional to 77,101 and 112,369 is: 163,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101 : 112,369 = 112,369 : x
  2. Step 2: Convert to fraction form
    77,101/112,369 = 112,369/x
  3. Step 3: Cross multiply
    77,101x = 112,369 × 112,369
  4. Step 4: Simplify right side
    77,101x = 12,626,792,161
  5. Step 5: Solve for x
    x = 12,626,792,161/77,101
  6. Step 6: Final answer
    x = 163,769.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.