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Finding the Third Proportional to 400,140 and 866,710.13

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Solution

The third proportional to 400,140 and 866,710.13 is: 1,877,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,140 : 866,710.13 = 866,710.13 : x
  2. Step 2: Convert to fraction form
    400,140/866,710.13 = 866,710.13/x
  3. Step 3: Cross multiply
    400,140x = 866,710.13 × 866,710.13
  4. Step 4: Simplify right side
    400,140x = 751,186,440,777.52
  5. Step 5: Solve for x
    x = 751,186,440,777.52/400,140
  6. Step 6: Final answer
    x = 1,877,309.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.