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Finding the Third Proportional to 77,888.75 and 169,446.25

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Solution

The third proportional to 77,888.75 and 169,446.25 is: 368,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,888.75 : 169,446.25 = 169,446.25 : x
  2. Step 2: Convert to fraction form
    77,888.75/169,446.25 = 169,446.25/x
  3. Step 3: Cross multiply
    77,888.75x = 169,446.25 × 169,446.25
  4. Step 4: Simplify right side
    77,888.75x = 28,712,031,639.06
  5. Step 5: Solve for x
    x = 28,712,031,639.06/77,888.75
  6. Step 6: Final answer
    x = 368,628.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.