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Finding the Third Proportional to 976,290.47 and 2,120,501.53

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Solution

The third proportional to 976,290.47 and 2,120,501.53 is: 4,605,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,290.47 : 2,120,501.53 = 2,120,501.53 : x
  2. Step 2: Convert to fraction form
    976,290.47/2,120,501.53 = 2,120,501.53/x
  3. Step 3: Cross multiply
    976,290.47x = 2,120,501.53 × 2,120,501.53
  4. Step 4: Simplify right side
    976,290.47x = 4,496,526,744,033.60
  5. Step 5: Solve for x
    x = 4,496,526,744,033.60/976,290.47
  6. Step 6: Final answer
    x = 4,605,726.36

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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.