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Finding the Third Proportional to 431,359 and 907,336

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Solution

The third proportional to 431,359 and 907,336 is: 1,908,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,359 : 907,336 = 907,336 : x
  2. Step 2: Convert to fraction form
    431,359/907,336 = 907,336/x
  3. Step 3: Cross multiply
    431,359x = 907,336 × 907,336
  4. Step 4: Simplify right side
    431,359x = 823,258,616,896
  5. Step 5: Solve for x
    x = 823,258,616,896/431,359
  6. Step 6: Final answer
    x = 1,908,523.10

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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.