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Finding the Third Proportional to 125,312 and 292,408

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Solution

The third proportional to 125,312 and 292,408 is: 682,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,312 : 292,408 = 292,408 : x
  2. Step 2: Convert to fraction form
    125,312/292,408 = 292,408/x
  3. Step 3: Cross multiply
    125,312x = 292,408 × 292,408
  4. Step 4: Simplify right side
    125,312x = 85,502,438,464
  5. Step 5: Solve for x
    x = 85,502,438,464/125,312
  6. Step 6: Final answer
    x = 682,316.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.