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Finding the Third Proportional to 205,420 and 430,712

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Solution

The third proportional to 205,420 and 430,712 is: 903,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,420 : 430,712 = 430,712 : x
  2. Step 2: Convert to fraction form
    205,420/430,712 = 430,712/x
  3. Step 3: Cross multiply
    205,420x = 430,712 × 430,712
  4. Step 4: Simplify right side
    205,420x = 185,512,826,944
  5. Step 5: Solve for x
    x = 185,512,826,944/205,420
  6. Step 6: Final answer
    x = 903,090.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.