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Finding the Third Proportional to 354,738 and 521,733

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Solution

The third proportional to 354,738 and 521,733 is: 767,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,738 : 521,733 = 521,733 : x
  2. Step 2: Convert to fraction form
    354,738/521,733 = 521,733/x
  3. Step 3: Cross multiply
    354,738x = 521,733 × 521,733
  4. Step 4: Simplify right side
    354,738x = 272,205,323,289
  5. Step 5: Solve for x
    x = 272,205,323,289/354,738
  6. Step 6: Final answer
    x = 767,341.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.