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Finding the Third Proportional to 135,291 and 292,248

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Solution

The third proportional to 135,291 and 292,248 is: 631,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,291 : 292,248 = 292,248 : x
  2. Step 2: Convert to fraction form
    135,291/292,248 = 292,248/x
  3. Step 3: Cross multiply
    135,291x = 292,248 × 292,248
  4. Step 4: Simplify right side
    135,291x = 85,408,893,504
  5. Step 5: Solve for x
    x = 85,408,893,504/135,291
  6. Step 6: Final answer
    x = 631,297.67

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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.