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Finding the Third Proportional to 191,145 and 415,518

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Solution

The third proportional to 191,145 and 415,518 is: 903,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,145 : 415,518 = 415,518 : x
  2. Step 2: Convert to fraction form
    191,145/415,518 = 415,518/x
  3. Step 3: Cross multiply
    191,145x = 415,518 × 415,518
  4. Step 4: Simplify right side
    191,145x = 172,655,208,324
  5. Step 5: Solve for x
    x = 172,655,208,324/191,145
  6. Step 6: Final answer
    x = 903,268.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.