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Finding the Third Proportional to 149,316 and 312,463

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Solution

The third proportional to 149,316 and 312,463 is: 653,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,316 : 312,463 = 312,463 : x
  2. Step 2: Convert to fraction form
    149,316/312,463 = 312,463/x
  3. Step 3: Cross multiply
    149,316x = 312,463 × 312,463
  4. Step 4: Simplify right side
    149,316x = 97,633,126,369
  5. Step 5: Solve for x
    x = 97,633,126,369/149,316
  6. Step 6: Final answer
    x = 653,869.15

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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.