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Finding the Third Proportional to 199,875 and 425,643

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Solution

The third proportional to 199,875 and 425,643 is: 906,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,875 : 425,643 = 425,643 : x
  2. Step 2: Convert to fraction form
    199,875/425,643 = 425,643/x
  3. Step 3: Cross multiply
    199,875x = 425,643 × 425,643
  4. Step 4: Simplify right side
    199,875x = 181,171,963,449
  5. Step 5: Solve for x
    x = 181,171,963,449/199,875
  6. Step 6: Final answer
    x = 906,426.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.