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Finding the Third Proportional to 64,572 and 136,838

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Solution

The third proportional to 64,572 and 136,838 is: 289,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,572 : 136,838 = 136,838 : x
  2. Step 2: Convert to fraction form
    64,572/136,838 = 136,838/x
  3. Step 3: Cross multiply
    64,572x = 136,838 × 136,838
  4. Step 4: Simplify right side
    64,572x = 18,724,638,244
  5. Step 5: Solve for x
    x = 18,724,638,244/64,572
  6. Step 6: Final answer
    x = 289,980.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.