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Finding the Third Proportional to 200,878 and 432,507

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Solution

The third proportional to 200,878 and 432,507 is: 931,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,878 : 432,507 = 432,507 : x
  2. Step 2: Convert to fraction form
    200,878/432,507 = 432,507/x
  3. Step 3: Cross multiply
    200,878x = 432,507 × 432,507
  4. Step 4: Simplify right side
    200,878x = 187,062,305,049
  5. Step 5: Solve for x
    x = 187,062,305,049/200,878
  6. Step 6: Final answer
    x = 931,223.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.