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Finding the Third Proportional to 838,080 and 1,297,431

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Solution

The third proportional to 838,080 and 1,297,431 is: 2,008,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,080 : 1,297,431 = 1,297,431 : x
  2. Step 2: Convert to fraction form
    838,080/1,297,431 = 1,297,431/x
  3. Step 3: Cross multiply
    838,080x = 1,297,431 × 1,297,431
  4. Step 4: Simplify right side
    838,080x = 1,683,327,199,761
  5. Step 5: Solve for x
    x = 1,683,327,199,761/838,080
  6. Step 6: Final answer
    x = 2,008,551.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.