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Finding the Third Proportional to 271,655 and 430,058.50

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Solution

The third proportional to 271,655 and 430,058.50 is: 680,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,655 : 430,058.50 = 430,058.50 : x
  2. Step 2: Convert to fraction form
    271,655/430,058.50 = 430,058.50/x
  3. Step 3: Cross multiply
    271,655x = 430,058.50 × 430,058.50
  4. Step 4: Simplify right side
    271,655x = 184,950,313,422.25
  5. Step 5: Solve for x
    x = 184,950,313,422.25/271,655
  6. Step 6: Final answer
    x = 680,827.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.