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Finding the Third Proportional to 308,889 and 493,311

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Solution

The third proportional to 308,889 and 493,311 is: 787,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,889 : 493,311 = 493,311 : x
  2. Step 2: Convert to fraction form
    308,889/493,311 = 493,311/x
  3. Step 3: Cross multiply
    308,889x = 493,311 × 493,311
  4. Step 4: Simplify right side
    308,889x = 243,355,742,721
  5. Step 5: Solve for x
    x = 243,355,742,721/308,889
  6. Step 6: Final answer
    x = 787,842.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.