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Finding the Third Proportional to 120,210 and 176,913

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Solution

The third proportional to 120,210 and 176,913 is: 260,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,210 : 176,913 = 176,913 : x
  2. Step 2: Convert to fraction form
    120,210/176,913 = 176,913/x
  3. Step 3: Cross multiply
    120,210x = 176,913 × 176,913
  4. Step 4: Simplify right side
    120,210x = 31,298,209,569
  5. Step 5: Solve for x
    x = 31,298,209,569/120,210
  6. Step 6: Final answer
    x = 260,362.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.