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Finding the Third Proportional to 77,840 and 120,776

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Solution

The third proportional to 77,840 and 120,776 is: 187,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,840 : 120,776 = 120,776 : x
  2. Step 2: Convert to fraction form
    77,840/120,776 = 120,776/x
  3. Step 3: Cross multiply
    77,840x = 120,776 × 120,776
  4. Step 4: Simplify right side
    77,840x = 14,586,842,176
  5. Step 5: Solve for x
    x = 14,586,842,176/77,840
  6. Step 6: Final answer
    x = 187,395.20

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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.