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Finding the Third Proportional to 397,219.57 and 510,020.93

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Solution

The third proportional to 397,219.57 and 510,020.93 is: 654,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,219.57 : 510,020.93 = 510,020.93 : x
  2. Step 2: Convert to fraction form
    397,219.57/510,020.93 = 510,020.93/x
  3. Step 3: Cross multiply
    397,219.57x = 510,020.93 × 510,020.93
  4. Step 4: Simplify right side
    397,219.57x = 260,121,348,719.30
  5. Step 5: Solve for x
    x = 260,121,348,719.30/397,219.57
  6. Step 6: Final answer
    x = 654,855.32

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.