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Finding the Third Proportional to 287,786 and 610,641

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Solution

The third proportional to 287,786 and 610,641 is: 1,295,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,786 : 610,641 = 610,641 : x
  2. Step 2: Convert to fraction form
    287,786/610,641 = 610,641/x
  3. Step 3: Cross multiply
    287,786x = 610,641 × 610,641
  4. Step 4: Simplify right side
    287,786x = 372,882,430,881
  5. Step 5: Solve for x
    x = 372,882,430,881/287,786
  6. Step 6: Final answer
    x = 1,295,693.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.