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Finding the Third Proportional to 74,850 and 113,490

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Solution

The third proportional to 74,850 and 113,490 is: 172,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,850 : 113,490 = 113,490 : x
  2. Step 2: Convert to fraction form
    74,850/113,490 = 113,490/x
  3. Step 3: Cross multiply
    74,850x = 113,490 × 113,490
  4. Step 4: Simplify right side
    74,850x = 12,879,980,100
  5. Step 5: Solve for x
    x = 12,879,980,100/74,850
  6. Step 6: Final answer
    x = 172,077.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.