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Finding the Third Proportional to 136,176 and 288,840

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Solution

The third proportional to 136,176 and 288,840 is: 612,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,176 : 288,840 = 288,840 : x
  2. Step 2: Convert to fraction form
    136,176/288,840 = 288,840/x
  3. Step 3: Cross multiply
    136,176x = 288,840 × 288,840
  4. Step 4: Simplify right side
    136,176x = 83,428,545,600
  5. Step 5: Solve for x
    x = 83,428,545,600/136,176
  6. Step 6: Final answer
    x = 612,652.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.