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Finding the Third Proportional to 338,040 and 730,208

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Solution

The third proportional to 338,040 and 730,208 is: 1,577,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,040 : 730,208 = 730,208 : x
  2. Step 2: Convert to fraction form
    338,040/730,208 = 730,208/x
  3. Step 3: Cross multiply
    338,040x = 730,208 × 730,208
  4. Step 4: Simplify right side
    338,040x = 533,203,723,264
  5. Step 5: Solve for x
    x = 533,203,723,264/338,040
  6. Step 6: Final answer
    x = 1,577,339.14

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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.