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Finding the Third Proportional to 53,698 and 78,902

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Solution

The third proportional to 53,698 and 78,902 is: 115,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698 : 78,902 = 78,902 : x
  2. Step 2: Convert to fraction form
    53,698/78,902 = 78,902/x
  3. Step 3: Cross multiply
    53,698x = 78,902 × 78,902
  4. Step 4: Simplify right side
    53,698x = 6,225,525,604
  5. Step 5: Solve for x
    x = 6,225,525,604/53,698
  6. Step 6: Final answer
    x = 115,935.89

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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.