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Finding the Third Proportional to 682,478 and 1,070,513

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Solution

The third proportional to 682,478 and 1,070,513 is: 1,679,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,478 : 1,070,513 = 1,070,513 : x
  2. Step 2: Convert to fraction form
    682,478/1,070,513 = 1,070,513/x
  3. Step 3: Cross multiply
    682,478x = 1,070,513 × 1,070,513
  4. Step 4: Simplify right side
    682,478x = 1,145,998,083,169
  5. Step 5: Solve for x
    x = 1,145,998,083,169/682,478
  6. Step 6: Final answer
    x = 1,679,172.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.