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Finding the Third Proportional to 349,930.13 and 513,415.13

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Solution

The third proportional to 349,930.13 and 513,415.13 is: 753,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,930.13 : 513,415.13 = 513,415.13 : x
  2. Step 2: Convert to fraction form
    349,930.13/513,415.13 = 513,415.13/x
  3. Step 3: Cross multiply
    349,930.13x = 513,415.13 × 513,415.13
  4. Step 4: Simplify right side
    349,930.13x = 263,595,090,578.77
  5. Step 5: Solve for x
    x = 263,595,090,578.77/349,930.13
  6. Step 6: Final answer
    x = 753,279.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.