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Finding the Third Proportional to 414,492 and 907,902

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Solution

The third proportional to 414,492 and 907,902 is: 1,988,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,492 : 907,902 = 907,902 : x
  2. Step 2: Convert to fraction form
    414,492/907,902 = 907,902/x
  3. Step 3: Cross multiply
    414,492x = 907,902 × 907,902
  4. Step 4: Simplify right side
    414,492x = 824,286,041,604
  5. Step 5: Solve for x
    x = 824,286,041,604/414,492
  6. Step 6: Final answer
    x = 1,988,665.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.