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Finding the Third Proportional to 301,724 and 455,663

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Solution

The third proportional to 301,724 and 455,663 is: 688,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,724 : 455,663 = 455,663 : x
  2. Step 2: Convert to fraction form
    301,724/455,663 = 455,663/x
  3. Step 3: Cross multiply
    301,724x = 455,663 × 455,663
  4. Step 4: Simplify right side
    301,724x = 207,628,769,569
  5. Step 5: Solve for x
    x = 207,628,769,569/301,724
  6. Step 6: Final answer
    x = 688,141.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.