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Finding the Third Proportional to 74,938.50 and 155,071.13

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Solution

The third proportional to 74,938.50 and 155,071.13 is: 320,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,938.50 : 155,071.13 = 155,071.13 : x
  2. Step 2: Convert to fraction form
    74,938.50/155,071.13 = 155,071.13/x
  3. Step 3: Cross multiply
    74,938.50x = 155,071.13 × 155,071.13
  4. Step 4: Simplify right side
    74,938.50x = 24,047,053,808.77
  5. Step 5: Solve for x
    x = 24,047,053,808.77/74,938.50
  6. Step 6: Final answer
    x = 320,890.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.