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Finding the Third Proportional to 413,861 and 907,210

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Solution

The third proportional to 413,861 and 907,210 is: 1,988,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,861 : 907,210 = 907,210 : x
  2. Step 2: Convert to fraction form
    413,861/907,210 = 907,210/x
  3. Step 3: Cross multiply
    413,861x = 907,210 × 907,210
  4. Step 4: Simplify right side
    413,861x = 823,029,984,100
  5. Step 5: Solve for x
    x = 823,029,984,100/413,861
  6. Step 6: Final answer
    x = 1,988,662.82

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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.