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Finding the Third Proportional to 191,646 and 407,835

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Solution

The third proportional to 191,646 and 407,835 is: 867,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,646 : 407,835 = 407,835 : x
  2. Step 2: Convert to fraction form
    191,646/407,835 = 407,835/x
  3. Step 3: Cross multiply
    191,646x = 407,835 × 407,835
  4. Step 4: Simplify right side
    191,646x = 166,329,387,225
  5. Step 5: Solve for x
    x = 166,329,387,225/191,646
  6. Step 6: Final answer
    x = 867,899.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.