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Finding the Third Proportional to 212,260.50 and 313,530.75

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Solution

The third proportional to 212,260.50 and 313,530.75 is: 463,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,260.50 : 313,530.75 = 313,530.75 : x
  2. Step 2: Convert to fraction form
    212,260.50/313,530.75 = 313,530.75/x
  3. Step 3: Cross multiply
    212,260.50x = 313,530.75 × 313,530.75
  4. Step 4: Simplify right side
    212,260.50x = 98,301,531,195.56
  5. Step 5: Solve for x
    x = 98,301,531,195.56/212,260.50
  6. Step 6: Final answer
    x = 463,117.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.