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Finding the Third Proportional to 387,747 and 810,810

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Solution

The third proportional to 387,747 and 810,810 is: 1,695,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,747 : 810,810 = 810,810 : x
  2. Step 2: Convert to fraction form
    387,747/810,810 = 810,810/x
  3. Step 3: Cross multiply
    387,747x = 810,810 × 810,810
  4. Step 4: Simplify right side
    387,747x = 657,412,856,100
  5. Step 5: Solve for x
    x = 657,412,856,100/387,747
  6. Step 6: Final answer
    x = 1,695,468.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.