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Finding the Third Proportional to 77,712 and 119,520

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Solution

The third proportional to 77,712 and 119,520 is: 183,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 119,520 = 119,520 : x
  2. Step 2: Convert to fraction form
    77,712/119,520 = 119,520/x
  3. Step 3: Cross multiply
    77,712x = 119,520 × 119,520
  4. Step 4: Simplify right side
    77,712x = 14,285,030,400
  5. Step 5: Solve for x
    x = 14,285,030,400/77,712
  6. Step 6: Final answer
    x = 183,820.14

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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.