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Finding the Third Proportional to 838,090 and 1,297,446

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Solution

The third proportional to 838,090 and 1,297,446 is: 2,008,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,090 : 1,297,446 = 1,297,446 : x
  2. Step 2: Convert to fraction form
    838,090/1,297,446 = 1,297,446/x
  3. Step 3: Cross multiply
    838,090x = 1,297,446 × 1,297,446
  4. Step 4: Simplify right side
    838,090x = 1,683,366,122,916
  5. Step 5: Solve for x
    x = 1,683,366,122,916/838,090
  6. Step 6: Final answer
    x = 2,008,574.40

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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.