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Finding the Third Proportional to 414,492 and 858,468

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Solution

The third proportional to 414,492 and 858,468 is: 1,778,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,492 : 858,468 = 858,468 : x
  2. Step 2: Convert to fraction form
    414,492/858,468 = 858,468/x
  3. Step 3: Cross multiply
    414,492x = 858,468 × 858,468
  4. Step 4: Simplify right side
    414,492x = 736,967,307,024
  5. Step 5: Solve for x
    x = 736,967,307,024/414,492
  6. Step 6: Final answer
    x = 1,778,001.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.