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Finding the Third Proportional to 77,232 and 103,440

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Solution

The third proportional to 77,232 and 103,440 is: 138,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,232 : 103,440 = 103,440 : x
  2. Step 2: Convert to fraction form
    77,232/103,440 = 103,440/x
  3. Step 3: Cross multiply
    77,232x = 103,440 × 103,440
  4. Step 4: Simplify right side
    77,232x = 10,699,833,600
  5. Step 5: Solve for x
    x = 10,699,833,600/77,232
  6. Step 6: Final answer
    x = 138,541.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.