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Finding the Third Proportional to 666,966.66 and 998,616.09

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Solution

The third proportional to 666,966.66 and 998,616.09 is: 1,495,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,966.66 : 998,616.09 = 998,616.09 : x
  2. Step 2: Convert to fraction form
    666,966.66/998,616.09 = 998,616.09/x
  3. Step 3: Cross multiply
    666,966.66x = 998,616.09 × 998,616.09
  4. Step 4: Simplify right side
    666,966.66x = 997,234,102,696.51
  5. Step 5: Solve for x
    x = 997,234,102,696.51/666,966.66
  6. Step 6: Final answer
    x = 1,495,178.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.