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Finding the Third Proportional to 530,920.88 and 1,146,365.25

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Solution

The third proportional to 530,920.88 and 1,146,365.25 is: 2,475,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,920.88 : 1,146,365.25 = 1,146,365.25 : x
  2. Step 2: Convert to fraction form
    530,920.88/1,146,365.25 = 1,146,365.25/x
  3. Step 3: Cross multiply
    530,920.88x = 1,146,365.25 × 1,146,365.25
  4. Step 4: Simplify right side
    530,920.88x = 1,314,153,286,407.56
  5. Step 5: Solve for x
    x = 1,314,153,286,407.56/530,920.88
  6. Step 6: Final answer
    x = 2,475,233.78

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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.