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Finding the Third Proportional to 74,511 and 145,287

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Solution

The third proportional to 74,511 and 145,287 is: 283,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,511 : 145,287 = 145,287 : x
  2. Step 2: Convert to fraction form
    74,511/145,287 = 145,287/x
  3. Step 3: Cross multiply
    74,511x = 145,287 × 145,287
  4. Step 4: Simplify right side
    74,511x = 21,108,312,369
  5. Step 5: Solve for x
    x = 21,108,312,369/74,511
  6. Step 6: Final answer
    x = 283,291.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.