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Finding the Third Proportional to 666,478 and 1,005,585

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Solution

The third proportional to 666,478 and 1,005,585 is: 1,517,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,478 : 1,005,585 = 1,005,585 : x
  2. Step 2: Convert to fraction form
    666,478/1,005,585 = 1,005,585/x
  3. Step 3: Cross multiply
    666,478x = 1,005,585 × 1,005,585
  4. Step 4: Simplify right side
    666,478x = 1,011,201,192,225
  5. Step 5: Solve for x
    x = 1,011,201,192,225/666,478
  6. Step 6: Final answer
    x = 1,517,231.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.