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Finding the Third Proportional to 418,752 and 859,680

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Solution

The third proportional to 418,752 and 859,680 is: 1,764,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,752 : 859,680 = 859,680 : x
  2. Step 2: Convert to fraction form
    418,752/859,680 = 859,680/x
  3. Step 3: Cross multiply
    418,752x = 859,680 × 859,680
  4. Step 4: Simplify right side
    418,752x = 739,049,702,400
  5. Step 5: Solve for x
    x = 739,049,702,400/418,752
  6. Step 6: Final answer
    x = 1,764,886.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.