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Finding the Third Proportional to 77,808 and 121,929.75

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Solution

The third proportional to 77,808 and 121,929.75 is: 191,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808 : 121,929.75 = 121,929.75 : x
  2. Step 2: Convert to fraction form
    77,808/121,929.75 = 121,929.75/x
  3. Step 3: Cross multiply
    77,808x = 121,929.75 × 121,929.75
  4. Step 4: Simplify right side
    77,808x = 14,866,863,935.06
  5. Step 5: Solve for x
    x = 14,866,863,935.06/77,808
  6. Step 6: Final answer
    x = 191,071.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.