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Finding the Third Proportional to 458,112 and 692,190

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Solution

The third proportional to 458,112 and 692,190 is: 1,045,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,112 : 692,190 = 692,190 : x
  2. Step 2: Convert to fraction form
    458,112/692,190 = 692,190/x
  3. Step 3: Cross multiply
    458,112x = 692,190 × 692,190
  4. Step 4: Simplify right side
    458,112x = 479,126,996,100
  5. Step 5: Solve for x
    x = 479,126,996,100/458,112
  6. Step 6: Final answer
    x = 1,045,873.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.