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Finding the Third Proportional to 512,643 and 823,640

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Solution

The third proportional to 512,643 and 823,640 is: 1,323,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,643 : 823,640 = 823,640 : x
  2. Step 2: Convert to fraction form
    512,643/823,640 = 823,640/x
  3. Step 3: Cross multiply
    512,643x = 823,640 × 823,640
  4. Step 4: Simplify right side
    512,643x = 678,382,849,600
  5. Step 5: Solve for x
    x = 678,382,849,600/512,643
  6. Step 6: Final answer
    x = 1,323,304.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.