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Finding the Third Proportional to 74,220 and 155,730.75

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Solution

The third proportional to 74,220 and 155,730.75 is: 326,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,220 : 155,730.75 = 155,730.75 : x
  2. Step 2: Convert to fraction form
    74,220/155,730.75 = 155,730.75/x
  3. Step 3: Cross multiply
    74,220x = 155,730.75 × 155,730.75
  4. Step 4: Simplify right side
    74,220x = 24,252,066,495.56
  5. Step 5: Solve for x
    x = 24,252,066,495.56/74,220
  6. Step 6: Final answer
    x = 326,759.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.