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Finding the Third Proportional to 74,484 and 170,170

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Solution

The third proportional to 74,484 and 170,170 is: 388,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,484 : 170,170 = 170,170 : x
  2. Step 2: Convert to fraction form
    74,484/170,170 = 170,170/x
  3. Step 3: Cross multiply
    74,484x = 170,170 × 170,170
  4. Step 4: Simplify right side
    74,484x = 28,957,828,900
  5. Step 5: Solve for x
    x = 28,957,828,900/74,484
  6. Step 6: Final answer
    x = 388,779.19

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.