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Finding the Third Proportional to 310,641 and 461,586

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Solution

The third proportional to 310,641 and 461,586 is: 685,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,641 : 461,586 = 461,586 : x
  2. Step 2: Convert to fraction form
    310,641/461,586 = 461,586/x
  3. Step 3: Cross multiply
    310,641x = 461,586 × 461,586
  4. Step 4: Simplify right side
    310,641x = 213,061,635,396
  5. Step 5: Solve for x
    x = 213,061,635,396/310,641
  6. Step 6: Final answer
    x = 685,877.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.