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Finding the Third Proportional to 53,541 and 78,752.25

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Solution

The third proportional to 53,541 and 78,752.25 is: 115,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,541 : 78,752.25 = 78,752.25 : x
  2. Step 2: Convert to fraction form
    53,541/78,752.25 = 78,752.25/x
  3. Step 3: Cross multiply
    53,541x = 78,752.25 × 78,752.25
  4. Step 4: Simplify right side
    53,541x = 6,201,916,880.06
  5. Step 5: Solve for x
    x = 6,201,916,880.06/53,541
  6. Step 6: Final answer
    x = 115,834.91

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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.