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Finding the Third Proportional to 442,017 and 666,700.88

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Solution

The third proportional to 442,017 and 666,700.88 is: 1,005,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,017 : 666,700.88 = 666,700.88 : x
  2. Step 2: Convert to fraction form
    442,017/666,700.88 = 666,700.88/x
  3. Step 3: Cross multiply
    442,017x = 666,700.88 × 666,700.88
  4. Step 4: Simplify right side
    442,017x = 444,490,056,725.77
  5. Step 5: Solve for x
    x = 444,490,056,725.77/442,017
  6. Step 6: Final answer
    x = 1,005,594.94

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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.