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Finding the Third Proportional to 641,646.56 and 897,116.06

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Solution

The third proportional to 641,646.56 and 897,116.06 is: 1,254,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,646.56 : 897,116.06 = 897,116.06 : x
  2. Step 2: Convert to fraction form
    641,646.56/897,116.06 = 897,116.06/x
  3. Step 3: Cross multiply
    641,646.56x = 897,116.06 × 897,116.06
  4. Step 4: Simplify right side
    641,646.56x = 804,817,229,595.50
  5. Step 5: Solve for x
    x = 804,817,229,595.50/641,646.56
  6. Step 6: Final answer
    x = 1,254,299.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.