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Finding the Third Proportional to 308,419 and 460,069

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Solution

The third proportional to 308,419 and 460,069 is: 686,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,419 : 460,069 = 460,069 : x
  2. Step 2: Convert to fraction form
    308,419/460,069 = 460,069/x
  3. Step 3: Cross multiply
    308,419x = 460,069 × 460,069
  4. Step 4: Simplify right side
    308,419x = 211,663,484,761
  5. Step 5: Solve for x
    x = 211,663,484,761/308,419
  6. Step 6: Final answer
    x = 686,285.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.