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Finding the Third Proportional to 212,742.50 and 314,908.50

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Solution

The third proportional to 212,742.50 and 314,908.50 is: 466,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,742.50 : 314,908.50 = 314,908.50 : x
  2. Step 2: Convert to fraction form
    212,742.50/314,908.50 = 314,908.50/x
  3. Step 3: Cross multiply
    212,742.50x = 314,908.50 × 314,908.50
  4. Step 4: Simplify right side
    212,742.50x = 99,167,363,372.25
  5. Step 5: Solve for x
    x = 99,167,363,372.25/212,742.50
  6. Step 6: Final answer
    x = 466,138.00

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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.