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Finding the Third Proportional to 427,892.63 and 576,315

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Solution

The third proportional to 427,892.63 and 576,315 is: 776,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,892.63 : 576,315 = 576,315 : x
  2. Step 2: Convert to fraction form
    427,892.63/576,315 = 576,315/x
  3. Step 3: Cross multiply
    427,892.63x = 576,315 × 576,315
  4. Step 4: Simplify right side
    427,892.63x = 332,138,979,225
  5. Step 5: Solve for x
    x = 332,138,979,225/427,892.63
  6. Step 6: Final answer
    x = 776,220.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.