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Finding the Third Proportional to 198,835 and 301,146

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Solution

The third proportional to 198,835 and 301,146 is: 456,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,835 : 301,146 = 301,146 : x
  2. Step 2: Convert to fraction form
    198,835/301,146 = 301,146/x
  3. Step 3: Cross multiply
    198,835x = 301,146 × 301,146
  4. Step 4: Simplify right side
    198,835x = 90,688,913,316
  5. Step 5: Solve for x
    x = 90,688,913,316/198,835
  6. Step 6: Final answer
    x = 456,101.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.