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Finding the Third Proportional to 810,840 and 1,271,961

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Solution

The third proportional to 810,840 and 1,271,961 is: 1,995,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,840 : 1,271,961 = 1,271,961 : x
  2. Step 2: Convert to fraction form
    810,840/1,271,961 = 1,271,961/x
  3. Step 3: Cross multiply
    810,840x = 1,271,961 × 1,271,961
  4. Step 4: Simplify right side
    810,840x = 1,617,884,785,521
  5. Step 5: Solve for x
    x = 1,617,884,785,521/810,840
  6. Step 6: Final answer
    x = 1,995,319.40

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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.