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Finding the Third Proportional to 89,712 and 136,752

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Solution

The third proportional to 89,712 and 136,752 is: 208,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,712 : 136,752 = 136,752 : x
  2. Step 2: Convert to fraction form
    89,712/136,752 = 136,752/x
  3. Step 3: Cross multiply
    89,712x = 136,752 × 136,752
  4. Step 4: Simplify right side
    89,712x = 18,701,109,504
  5. Step 5: Solve for x
    x = 18,701,109,504/89,712
  6. Step 6: Final answer
    x = 208,457.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.