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Finding the Third Proportional to 655,229 and 1,431,688

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Solution

The third proportional to 655,229 and 1,431,688 is: 3,128,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,229 : 1,431,688 = 1,431,688 : x
  2. Step 2: Convert to fraction form
    655,229/1,431,688 = 1,431,688/x
  3. Step 3: Cross multiply
    655,229x = 1,431,688 × 1,431,688
  4. Step 4: Simplify right side
    655,229x = 2,049,730,529,344
  5. Step 5: Solve for x
    x = 2,049,730,529,344/655,229
  6. Step 6: Final answer
    x = 3,128,265.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.