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Finding the Third Proportional to 666,400 and 1,439,178.50

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Solution

The third proportional to 666,400 and 1,439,178.50 is: 3,108,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,400 : 1,439,178.50 = 1,439,178.50 : x
  2. Step 2: Convert to fraction form
    666,400/1,439,178.50 = 1,439,178.50/x
  3. Step 3: Cross multiply
    666,400x = 1,439,178.50 × 1,439,178.50
  4. Step 4: Simplify right side
    666,400x = 2,071,234,754,862.25
  5. Step 5: Solve for x
    x = 2,071,234,754,862.25/666,400
  6. Step 6: Final answer
    x = 3,108,095.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.