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Finding the Third Proportional to 815,424 and 1,657,911

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Solution

The third proportional to 815,424 and 1,657,911 is: 3,370,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,424 : 1,657,911 = 1,657,911 : x
  2. Step 2: Convert to fraction form
    815,424/1,657,911 = 1,657,911/x
  3. Step 3: Cross multiply
    815,424x = 1,657,911 × 1,657,911
  4. Step 4: Simplify right side
    815,424x = 2,748,668,883,921
  5. Step 5: Solve for x
    x = 2,748,668,883,921/815,424
  6. Step 6: Final answer
    x = 3,370,846.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.