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Finding the Third Proportional to 393,360.05 and 514,279.13

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Solution

The third proportional to 393,360.05 and 514,279.13 is: 672,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,360.05 : 514,279.13 = 514,279.13 : x
  2. Step 2: Convert to fraction form
    393,360.05/514,279.13 = 514,279.13/x
  3. Step 3: Cross multiply
    393,360.05x = 514,279.13 × 514,279.13
  4. Step 4: Simplify right side
    393,360.05x = 264,483,018,410.77
  5. Step 5: Solve for x
    x = 264,483,018,410.77/393,360.05
  6. Step 6: Final answer
    x = 672,368.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.