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Finding the Third Proportional to 400,090 and 562,712

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Solution

The third proportional to 400,090 and 562,712 is: 791,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,090 : 562,712 = 562,712 : x
  2. Step 2: Convert to fraction form
    400,090/562,712 = 562,712/x
  3. Step 3: Cross multiply
    400,090x = 562,712 × 562,712
  4. Step 4: Simplify right side
    400,090x = 316,644,794,944
  5. Step 5: Solve for x
    x = 316,644,794,944/400,090
  6. Step 6: Final answer
    x = 791,433.91

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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.