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Finding the Third Proportional to 445,610 and 731,511

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Solution

The third proportional to 445,610 and 731,511 is: 1,200,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,610 : 731,511 = 731,511 : x
  2. Step 2: Convert to fraction form
    445,610/731,511 = 731,511/x
  3. Step 3: Cross multiply
    445,610x = 731,511 × 731,511
  4. Step 4: Simplify right side
    445,610x = 535,108,343,121
  5. Step 5: Solve for x
    x = 535,108,343,121/445,610
  6. Step 6: Final answer
    x = 1,200,844.56

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.