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Finding the Third Proportional to 431,228 and 907,140

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Solution

The third proportional to 431,228 and 907,140 is: 1,908,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,228 : 907,140 = 907,140 : x
  2. Step 2: Convert to fraction form
    431,228/907,140 = 907,140/x
  3. Step 3: Cross multiply
    431,228x = 907,140 × 907,140
  4. Step 4: Simplify right side
    431,228x = 822,902,979,600
  5. Step 5: Solve for x
    x = 822,902,979,600/431,228
  6. Step 6: Final answer
    x = 1,908,278.17

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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.