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Finding the Third Proportional to 53,545 and 78,397

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Solution

The third proportional to 53,545 and 78,397 is: 114,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,545 : 78,397 = 78,397 : x
  2. Step 2: Convert to fraction form
    53,545/78,397 = 78,397/x
  3. Step 3: Cross multiply
    53,545x = 78,397 × 78,397
  4. Step 4: Simplify right side
    53,545x = 6,146,089,609
  5. Step 5: Solve for x
    x = 6,146,089,609/53,545
  6. Step 6: Final answer
    x = 114,783.63

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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.