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Finding the Third Proportional to 431,111 and 652,629

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Solution

The third proportional to 431,111 and 652,629 is: 987,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,111 : 652,629 = 652,629 : x
  2. Step 2: Convert to fraction form
    431,111/652,629 = 652,629/x
  3. Step 3: Cross multiply
    431,111x = 652,629 × 652,629
  4. Step 4: Simplify right side
    431,111x = 425,924,611,641
  5. Step 5: Solve for x
    x = 425,924,611,641/431,111
  6. Step 6: Final answer
    x = 987,969.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.