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Finding the Third Proportional to 131,807 and 289,854

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Solution

The third proportional to 131,807 and 289,854 is: 637,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,807 : 289,854 = 289,854 : x
  2. Step 2: Convert to fraction form
    131,807/289,854 = 289,854/x
  3. Step 3: Cross multiply
    131,807x = 289,854 × 289,854
  4. Step 4: Simplify right side
    131,807x = 84,015,341,316
  5. Step 5: Solve for x
    x = 84,015,341,316/131,807
  6. Step 6: Final answer
    x = 637,411.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.