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Finding the Third Proportional to 199,648 and 432,871

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Solution

The third proportional to 199,648 and 432,871 is: 938,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648 : 432,871 = 432,871 : x
  2. Step 2: Convert to fraction form
    199,648/432,871 = 432,871/x
  3. Step 3: Cross multiply
    199,648x = 432,871 × 432,871
  4. Step 4: Simplify right side
    199,648x = 187,377,302,641
  5. Step 5: Solve for x
    x = 187,377,302,641/199,648
  6. Step 6: Final answer
    x = 938,538.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.