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Finding the Third Proportional to 402,210 and 843,588

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Solution

The third proportional to 402,210 and 843,588 is: 1,769,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,210 : 843,588 = 843,588 : x
  2. Step 2: Convert to fraction form
    402,210/843,588 = 843,588/x
  3. Step 3: Cross multiply
    402,210x = 843,588 × 843,588
  4. Step 4: Simplify right side
    402,210x = 711,640,713,744
  5. Step 5: Solve for x
    x = 711,640,713,744/402,210
  6. Step 6: Final answer
    x = 1,769,326.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.