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Finding the Third Proportional to 338,506 and 729,913

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Solution

The third proportional to 338,506 and 729,913 is: 1,573,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,506 : 729,913 = 729,913 : x
  2. Step 2: Convert to fraction form
    338,506/729,913 = 729,913/x
  3. Step 3: Cross multiply
    338,506x = 729,913 × 729,913
  4. Step 4: Simplify right side
    338,506x = 532,772,987,569
  5. Step 5: Solve for x
    x = 532,772,987,569/338,506
  6. Step 6: Final answer
    x = 1,573,895.26

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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.