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Finding the Third Proportional to 308,064 and 457,578

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Solution

The third proportional to 308,064 and 457,578 is: 679,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,064 : 457,578 = 457,578 : x
  2. Step 2: Convert to fraction form
    308,064/457,578 = 457,578/x
  3. Step 3: Cross multiply
    308,064x = 457,578 × 457,578
  4. Step 4: Simplify right side
    308,064x = 209,377,626,084
  5. Step 5: Solve for x
    x = 209,377,626,084/308,064
  6. Step 6: Final answer
    x = 679,656.26

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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.