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Finding the Third Proportional to 553,686.89 and 867,435.96

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Solution

The third proportional to 553,686.89 and 867,435.96 is: 1,358,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,686.89 : 867,435.96 = 867,435.96 : x
  2. Step 2: Convert to fraction form
    553,686.89/867,435.96 = 867,435.96/x
  3. Step 3: Cross multiply
    553,686.89x = 867,435.96 × 867,435.96
  4. Step 4: Simplify right side
    553,686.89x = 752,445,146,327.56
  5. Step 5: Solve for x
    x = 752,445,146,327.56/553,686.89
  6. Step 6: Final answer
    x = 1,358,972.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.