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Finding the Third Proportional to 431,370 and 907,348

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Solution

The third proportional to 431,370 and 907,348 is: 1,908,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,370 : 907,348 = 907,348 : x
  2. Step 2: Convert to fraction form
    431,370/907,348 = 907,348/x
  3. Step 3: Cross multiply
    431,370x = 907,348 × 907,348
  4. Step 4: Simplify right side
    431,370x = 823,280,393,104
  5. Step 5: Solve for x
    x = 823,280,393,104/431,370
  6. Step 6: Final answer
    x = 1,908,524.92

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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.