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Finding the Third Proportional to 431,363 and 907,344

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Solution

The third proportional to 431,363 and 907,344 is: 1,908,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,363 : 907,344 = 907,344 : x
  2. Step 2: Convert to fraction form
    431,363/907,344 = 907,344/x
  3. Step 3: Cross multiply
    431,363x = 907,344 × 907,344
  4. Step 4: Simplify right side
    431,363x = 823,273,134,336
  5. Step 5: Solve for x
    x = 823,273,134,336/431,363
  6. Step 6: Final answer
    x = 1,908,539.06

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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.