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Finding the Third Proportional to 53,458 and 77,810

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Solution

The third proportional to 53,458 and 77,810 is: 113,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,458 : 77,810 = 77,810 : x
  2. Step 2: Convert to fraction form
    53,458/77,810 = 77,810/x
  3. Step 3: Cross multiply
    53,458x = 77,810 × 77,810
  4. Step 4: Simplify right side
    53,458x = 6,054,396,100
  5. Step 5: Solve for x
    x = 6,054,396,100/53,458
  6. Step 6: Final answer
    x = 113,255.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.