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Finding the Third Proportional to 431,332 and 907,283

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Solution

The third proportional to 431,332 and 907,283 is: 1,908,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,332 : 907,283 = 907,283 : x
  2. Step 2: Convert to fraction form
    431,332/907,283 = 907,283/x
  3. Step 3: Cross multiply
    431,332x = 907,283 × 907,283
  4. Step 4: Simplify right side
    431,332x = 823,162,442,089
  5. Step 5: Solve for x
    x = 823,162,442,089/431,332
  6. Step 6: Final answer
    x = 1,908,419.60

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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.