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Finding the Third Proportional to 134,897.50 and 291,408.50

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Solution

The third proportional to 134,897.50 and 291,408.50 is: 629,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,897.50 : 291,408.50 = 291,408.50 : x
  2. Step 2: Convert to fraction form
    134,897.50/291,408.50 = 291,408.50/x
  3. Step 3: Cross multiply
    134,897.50x = 291,408.50 × 291,408.50
  4. Step 4: Simplify right side
    134,897.50x = 84,918,913,872.25
  5. Step 5: Solve for x
    x = 84,918,913,872.25/134,897.50
  6. Step 6: Final answer
    x = 629,506.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.