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Finding the Third Proportional to 431,355 and 907,328

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Solution

The third proportional to 431,355 and 907,328 is: 1,908,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,355 : 907,328 = 907,328 : x
  2. Step 2: Convert to fraction form
    431,355/907,328 = 907,328/x
  3. Step 3: Cross multiply
    431,355x = 907,328 × 907,328
  4. Step 4: Simplify right side
    431,355x = 823,244,099,584
  5. Step 5: Solve for x
    x = 823,244,099,584/431,355
  6. Step 6: Final answer
    x = 1,908,507.15

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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.