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Finding the Third Proportional to 290,179.13 and 470,098.69

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Solution

The third proportional to 290,179.13 and 470,098.69 is: 761,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,179.13 : 470,098.69 = 470,098.69 : x
  2. Step 2: Convert to fraction form
    290,179.13/470,098.69 = 470,098.69/x
  3. Step 3: Cross multiply
    290,179.13x = 470,098.69 × 470,098.69
  4. Step 4: Simplify right side
    290,179.13x = 220,992,775,989.22
  5. Step 5: Solve for x
    x = 220,992,775,989.22/290,179.13
  6. Step 6: Final answer
    x = 761,573.65

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.