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Finding the Third Proportional to 414,870 and 640,729

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Solution

The third proportional to 414,870 and 640,729 is: 989,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,870 : 640,729 = 640,729 : x
  2. Step 2: Convert to fraction form
    414,870/640,729 = 640,729/x
  3. Step 3: Cross multiply
    414,870x = 640,729 × 640,729
  4. Step 4: Simplify right side
    414,870x = 410,533,651,441
  5. Step 5: Solve for x
    x = 410,533,651,441/414,870
  6. Step 6: Final answer
    x = 989,547.69

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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.