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Finding the Third Proportional to 765,223 and 1,670,328

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Solution

The third proportional to 765,223 and 1,670,328 is: 3,645,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,223 : 1,670,328 = 1,670,328 : x
  2. Step 2: Convert to fraction form
    765,223/1,670,328 = 1,670,328/x
  3. Step 3: Cross multiply
    765,223x = 1,670,328 × 1,670,328
  4. Step 4: Simplify right side
    765,223x = 2,789,995,627,584
  5. Step 5: Solve for x
    x = 2,789,995,627,584/765,223
  6. Step 6: Final answer
    x = 3,645,990.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.