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Finding the Third Proportional to 611,680 and 1,439,159

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Solution

The third proportional to 611,680 and 1,439,159 is: 3,386,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,680 : 1,439,159 = 1,439,159 : x
  2. Step 2: Convert to fraction form
    611,680/1,439,159 = 1,439,159/x
  3. Step 3: Cross multiply
    611,680x = 1,439,159 × 1,439,159
  4. Step 4: Simplify right side
    611,680x = 2,071,178,627,281
  5. Step 5: Solve for x
    x = 2,071,178,627,281/611,680
  6. Step 6: Final answer
    x = 3,386,049.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.