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Finding the Third Proportional to 336,243 and 721,302

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Solution

The third proportional to 336,243 and 721,302 is: 1,547,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,243 : 721,302 = 721,302 : x
  2. Step 2: Convert to fraction form
    336,243/721,302 = 721,302/x
  3. Step 3: Cross multiply
    336,243x = 721,302 × 721,302
  4. Step 4: Simplify right side
    336,243x = 520,276,575,204
  5. Step 5: Solve for x
    x = 520,276,575,204/336,243
  6. Step 6: Final answer
    x = 1,547,323.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.