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Finding the Third Proportional to 287,761 and 626,609

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Solution

The third proportional to 287,761 and 626,609 is: 1,364,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,761 : 626,609 = 626,609 : x
  2. Step 2: Convert to fraction form
    287,761/626,609 = 626,609/x
  3. Step 3: Cross multiply
    287,761x = 626,609 × 626,609
  4. Step 4: Simplify right side
    287,761x = 392,638,838,881
  5. Step 5: Solve for x
    x = 392,638,838,881/287,761
  6. Step 6: Final answer
    x = 1,364,461.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.