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Finding the Third Proportional to 53,020 and 77,939

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Solution

The third proportional to 53,020 and 77,939 is: 114,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,020 : 77,939 = 77,939 : x
  2. Step 2: Convert to fraction form
    53,020/77,939 = 77,939/x
  3. Step 3: Cross multiply
    53,020x = 77,939 × 77,939
  4. Step 4: Simplify right side
    53,020x = 6,074,487,721
  5. Step 5: Solve for x
    x = 6,074,487,721/53,020
  6. Step 6: Final answer
    x = 114,569.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.