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Finding the Third Proportional to 228,439 and 334,864.50

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Solution

The third proportional to 228,439 and 334,864.50 is: 490,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,439 : 334,864.50 = 334,864.50 : x
  2. Step 2: Convert to fraction form
    228,439/334,864.50 = 334,864.50/x
  3. Step 3: Cross multiply
    228,439x = 334,864.50 × 334,864.50
  4. Step 4: Simplify right side
    228,439x = 112,134,233,360.25
  5. Step 5: Solve for x
    x = 112,134,233,360.25/228,439
  6. Step 6: Final answer
    x = 490,871.67

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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.