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Finding the Third Proportional to 371,319 and 812,189

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Solution

The third proportional to 371,319 and 812,189 is: 1,776,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,319 : 812,189 = 812,189 : x
  2. Step 2: Convert to fraction form
    371,319/812,189 = 812,189/x
  3. Step 3: Cross multiply
    371,319x = 812,189 × 812,189
  4. Step 4: Simplify right side
    371,319x = 659,650,971,721
  5. Step 5: Solve for x
    x = 659,650,971,721/371,319
  6. Step 6: Final answer
    x = 1,776,507.46

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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.