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Finding the Third Proportional to 431,348 and 907,312

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Solution

The third proportional to 431,348 and 907,312 is: 1,908,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,348 : 907,312 = 907,312 : x
  2. Step 2: Convert to fraction form
    431,348/907,312 = 907,312/x
  3. Step 3: Cross multiply
    431,348x = 907,312 × 907,312
  4. Step 4: Simplify right side
    431,348x = 823,215,065,344
  5. Step 5: Solve for x
    x = 823,215,065,344/431,348
  6. Step 6: Final answer
    x = 1,908,470.81

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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.