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Finding the Third Proportional to 212,041.13 and 311,701.50

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Solution

The third proportional to 212,041.13 and 311,701.50 is: 458,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,041.13 : 311,701.50 = 311,701.50 : x
  2. Step 2: Convert to fraction form
    212,041.13/311,701.50 = 311,701.50/x
  3. Step 3: Cross multiply
    212,041.13x = 311,701.50 × 311,701.50
  4. Step 4: Simplify right side
    212,041.13x = 97,157,825,102.25
  5. Step 5: Solve for x
    x = 97,157,825,102.25/212,041.13
  6. Step 6: Final answer
    x = 458,202.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.