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Finding the Third Proportional to 64,555 and 142,160

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Solution

The third proportional to 64,555 and 142,160 is: 313,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,555 : 142,160 = 142,160 : x
  2. Step 2: Convert to fraction form
    64,555/142,160 = 142,160/x
  3. Step 3: Cross multiply
    64,555x = 142,160 × 142,160
  4. Step 4: Simplify right side
    64,555x = 20,209,465,600
  5. Step 5: Solve for x
    x = 20,209,465,600/64,555
  6. Step 6: Final answer
    x = 313,058.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.