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Finding the Third Proportional to 448,514 and 747,495

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Solution

The third proportional to 448,514 and 747,495 is: 1,245,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,514 : 747,495 = 747,495 : x
  2. Step 2: Convert to fraction form
    448,514/747,495 = 747,495/x
  3. Step 3: Cross multiply
    448,514x = 747,495 × 747,495
  4. Step 4: Simplify right side
    448,514x = 558,748,775,025
  5. Step 5: Solve for x
    x = 558,748,775,025/448,514
  6. Step 6: Final answer
    x = 1,245,777.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.