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Finding the Third Proportional to 78,232 and 112,106

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Solution

The third proportional to 78,232 and 112,106 is: 160,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,232 : 112,106 = 112,106 : x
  2. Step 2: Convert to fraction form
    78,232/112,106 = 112,106/x
  3. Step 3: Cross multiply
    78,232x = 112,106 × 112,106
  4. Step 4: Simplify right side
    78,232x = 12,567,755,236
  5. Step 5: Solve for x
    x = 12,567,755,236/78,232
  6. Step 6: Final answer
    x = 160,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.