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Finding the Third Proportional to 431,357 and 907,332

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Solution

The third proportional to 431,357 and 907,332 is: 1,908,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,357 : 907,332 = 907,332 : x
  2. Step 2: Convert to fraction form
    431,357/907,332 = 907,332/x
  3. Step 3: Cross multiply
    431,357x = 907,332 × 907,332
  4. Step 4: Simplify right side
    431,357x = 823,251,358,224
  5. Step 5: Solve for x
    x = 823,251,358,224/431,357
  6. Step 6: Final answer
    x = 1,908,515.12

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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.