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Finding the Third Proportional to 431,580 and 907,908

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Solution

The third proportional to 431,580 and 907,908 is: 1,909,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,580 : 907,908 = 907,908 : x
  2. Step 2: Convert to fraction form
    431,580/907,908 = 907,908/x
  3. Step 3: Cross multiply
    431,580x = 907,908 × 907,908
  4. Step 4: Simplify right side
    431,580x = 824,296,936,464
  5. Step 5: Solve for x
    x = 824,296,936,464/431,580
  6. Step 6: Final answer
    x = 1,909,951.66

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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.