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Finding the Third Proportional to 77,850 and 120,421

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Solution

The third proportional to 77,850 and 120,421 is: 186,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,850 : 120,421 = 120,421 : x
  2. Step 2: Convert to fraction form
    77,850/120,421 = 120,421/x
  3. Step 3: Cross multiply
    77,850x = 120,421 × 120,421
  4. Step 4: Simplify right side
    77,850x = 14,501,217,241
  5. Step 5: Solve for x
    x = 14,501,217,241/77,850
  6. Step 6: Final answer
    x = 186,271.26

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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.