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Finding the Third Proportional to 338,499 and 729,897.75

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Solution

The third proportional to 338,499 and 729,897.75 is: 1,573,862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,499 : 729,897.75 = 729,897.75 : x
  2. Step 2: Convert to fraction form
    338,499/729,897.75 = 729,897.75/x
  3. Step 3: Cross multiply
    338,499x = 729,897.75 × 729,897.75
  4. Step 4: Simplify right side
    338,499x = 532,750,725,455.06
  5. Step 5: Solve for x
    x = 532,750,725,455.06/338,499
  6. Step 6: Final answer
    x = 1,573,862.04

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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.