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Finding the Third Proportional to 308,388 and 461,316

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Solution

The third proportional to 308,388 and 461,316 is: 690,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,388 : 461,316 = 461,316 : x
  2. Step 2: Convert to fraction form
    308,388/461,316 = 461,316/x
  3. Step 3: Cross multiply
    308,388x = 461,316 × 461,316
  4. Step 4: Simplify right side
    308,388x = 212,812,451,856
  5. Step 5: Solve for x
    x = 212,812,451,856/308,388
  6. Step 6: Final answer
    x = 690,080.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.