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Finding the Third Proportional to 64,426 and 102,495

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Solution

The third proportional to 64,426 and 102,495 is: 163,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,426 : 102,495 = 102,495 : x
  2. Step 2: Convert to fraction form
    64,426/102,495 = 102,495/x
  3. Step 3: Cross multiply
    64,426x = 102,495 × 102,495
  4. Step 4: Simplify right side
    64,426x = 10,505,225,025
  5. Step 5: Solve for x
    x = 10,505,225,025/64,426
  6. Step 6: Final answer
    x = 163,058.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.