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Finding the Third Proportional to 149,290 and 312,407

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Solution

The third proportional to 149,290 and 312,407 is: 653,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,290 : 312,407 = 312,407 : x
  2. Step 2: Convert to fraction form
    149,290/312,407 = 312,407/x
  3. Step 3: Cross multiply
    149,290x = 312,407 × 312,407
  4. Step 4: Simplify right side
    149,290x = 97,598,133,649
  5. Step 5: Solve for x
    x = 97,598,133,649/149,290
  6. Step 6: Final answer
    x = 653,748.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.