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Finding the Third Proportional to 243,646.88 and 374,985

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Solution

The third proportional to 243,646.88 and 374,985 is: 577,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,646.88 : 374,985 = 374,985 : x
  2. Step 2: Convert to fraction form
    243,646.88/374,985 = 374,985/x
  3. Step 3: Cross multiply
    243,646.88x = 374,985 × 374,985
  4. Step 4: Simplify right side
    243,646.88x = 140,613,750,225
  5. Step 5: Solve for x
    x = 140,613,750,225/243,646.88
  6. Step 6: Final answer
    x = 577,121.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.