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Finding the Third Proportional to 338,307 and 729,501

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Solution

The third proportional to 338,307 and 729,501 is: 1,573,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,307 : 729,501 = 729,501 : x
  2. Step 2: Convert to fraction form
    338,307/729,501 = 729,501/x
  3. Step 3: Cross multiply
    338,307x = 729,501 × 729,501
  4. Step 4: Simplify right side
    338,307x = 532,171,709,001
  5. Step 5: Solve for x
    x = 532,171,709,001/338,307
  6. Step 6: Final answer
    x = 1,573,043.74

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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.