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Finding the Third Proportional to 555,638 and 841,207

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Solution

The third proportional to 555,638 and 841,207 is: 1,273,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,638 : 841,207 = 841,207 : x
  2. Step 2: Convert to fraction form
    555,638/841,207 = 841,207/x
  3. Step 3: Cross multiply
    555,638x = 841,207 × 841,207
  4. Step 4: Simplify right side
    555,638x = 707,629,216,849
  5. Step 5: Solve for x
    x = 707,629,216,849/555,638
  6. Step 6: Final answer
    x = 1,273,543.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.