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Finding the Third Proportional to 431,253 and 907,173

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Solution

The third proportional to 431,253 and 907,173 is: 1,908,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,253 : 907,173 = 907,173 : x
  2. Step 2: Convert to fraction form
    431,253/907,173 = 907,173/x
  3. Step 3: Cross multiply
    431,253x = 907,173 × 907,173
  4. Step 4: Simplify right side
    431,253x = 822,962,851,929
  5. Step 5: Solve for x
    x = 822,962,851,929/431,253
  6. Step 6: Final answer
    x = 1,908,306.38

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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.