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Finding the Third Proportional to 153,853.50 and 323,257.50

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Solution

The third proportional to 153,853.50 and 323,257.50 is: 679,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,853.50 : 323,257.50 = 323,257.50 : x
  2. Step 2: Convert to fraction form
    153,853.50/323,257.50 = 323,257.50/x
  3. Step 3: Cross multiply
    153,853.50x = 323,257.50 × 323,257.50
  4. Step 4: Simplify right side
    153,853.50x = 104,495,411,306.25
  5. Step 5: Solve for x
    x = 104,495,411,306.25/153,853.50
  6. Step 6: Final answer
    x = 679,187.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.