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Finding the Third Proportional to 196,428 and 294,315

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Solution

The third proportional to 196,428 and 294,315 is: 440,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,428 : 294,315 = 294,315 : x
  2. Step 2: Convert to fraction form
    196,428/294,315 = 294,315/x
  3. Step 3: Cross multiply
    196,428x = 294,315 × 294,315
  4. Step 4: Simplify right side
    196,428x = 86,621,319,225
  5. Step 5: Solve for x
    x = 86,621,319,225/196,428
  6. Step 6: Final answer
    x = 440,982.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.