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Finding the Third Proportional to 431,338 and 907,293

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Solution

The third proportional to 431,338 and 907,293 is: 1,908,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,338 : 907,293 = 907,293 : x
  2. Step 2: Convert to fraction form
    431,338/907,293 = 907,293/x
  3. Step 3: Cross multiply
    431,338x = 907,293 × 907,293
  4. Step 4: Simplify right side
    431,338x = 823,180,587,849
  5. Step 5: Solve for x
    x = 823,180,587,849/431,338
  6. Step 6: Final answer
    x = 1,908,435.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.