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Finding the Third Proportional to 53,020 and 74,920

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Solution

The third proportional to 53,020 and 74,920 is: 105,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,020 : 74,920 = 74,920 : x
  2. Step 2: Convert to fraction form
    53,020/74,920 = 74,920/x
  3. Step 3: Cross multiply
    53,020x = 74,920 × 74,920
  4. Step 4: Simplify right side
    53,020x = 5,613,006,400
  5. Step 5: Solve for x
    x = 5,613,006,400/53,020
  6. Step 6: Final answer
    x = 105,865.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.