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Finding the Third Proportional to 259,537.50 and 349,209

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Solution

The third proportional to 259,537.50 and 349,209 is: 469,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,537.50 : 349,209 = 349,209 : x
  2. Step 2: Convert to fraction form
    259,537.50/349,209 = 349,209/x
  3. Step 3: Cross multiply
    259,537.50x = 349,209 × 349,209
  4. Step 4: Simplify right side
    259,537.50x = 121,946,925,681
  5. Step 5: Solve for x
    x = 121,946,925,681/259,537.50
  6. Step 6: Final answer
    x = 469,862.45

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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.