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Finding the Third Proportional to 414,894 and 640,769

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Solution

The third proportional to 414,894 and 640,769 is: 989,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,894 : 640,769 = 640,769 : x
  2. Step 2: Convert to fraction form
    414,894/640,769 = 640,769/x
  3. Step 3: Cross multiply
    414,894x = 640,769 × 640,769
  4. Step 4: Simplify right side
    414,894x = 410,584,911,361
  5. Step 5: Solve for x
    x = 410,584,911,361/414,894
  6. Step 6: Final answer
    x = 989,614.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.