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Finding the Third Proportional to 401,354 and 546,663

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Solution

The third proportional to 401,354 and 546,663 is: 744,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,354 : 546,663 = 546,663 : x
  2. Step 2: Convert to fraction form
    401,354/546,663 = 546,663/x
  3. Step 3: Cross multiply
    401,354x = 546,663 × 546,663
  4. Step 4: Simplify right side
    401,354x = 298,840,435,569
  5. Step 5: Solve for x
    x = 298,840,435,569/401,354
  6. Step 6: Final answer
    x = 744,580.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.