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Finding the Third Proportional to 431,328 and 907,276

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Solution

The third proportional to 431,328 and 907,276 is: 1,908,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,328 : 907,276 = 907,276 : x
  2. Step 2: Convert to fraction form
    431,328/907,276 = 907,276/x
  3. Step 3: Cross multiply
    431,328x = 907,276 × 907,276
  4. Step 4: Simplify right side
    431,328x = 823,149,740,176
  5. Step 5: Solve for x
    x = 823,149,740,176/431,328
  6. Step 6: Final answer
    x = 1,908,407.85

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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.