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Finding the Third Proportional to 691,257 and 1,503,688

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Solution

The third proportional to 691,257 and 1,503,688 is: 3,270,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,257 : 1,503,688 = 1,503,688 : x
  2. Step 2: Convert to fraction form
    691,257/1,503,688 = 1,503,688/x
  3. Step 3: Cross multiply
    691,257x = 1,503,688 × 1,503,688
  4. Step 4: Simplify right side
    691,257x = 2,261,077,601,344
  5. Step 5: Solve for x
    x = 2,261,077,601,344/691,257
  6. Step 6: Final answer
    x = 3,270,965.21

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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.