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Finding the Third Proportional to 400,026 and 562,687

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Solution

The third proportional to 400,026 and 562,687 is: 791,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,026 : 562,687 = 562,687 : x
  2. Step 2: Convert to fraction form
    400,026/562,687 = 562,687/x
  3. Step 3: Cross multiply
    400,026x = 562,687 × 562,687
  4. Step 4: Simplify right side
    400,026x = 316,616,659,969
  5. Step 5: Solve for x
    x = 316,616,659,969/400,026
  6. Step 6: Final answer
    x = 791,490.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.