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Finding the Third Proportional to 64,558 and 141,559

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Solution

The third proportional to 64,558 and 141,559 is: 310,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,558 : 141,559 = 141,559 : x
  2. Step 2: Convert to fraction form
    64,558/141,559 = 141,559/x
  3. Step 3: Cross multiply
    64,558x = 141,559 × 141,559
  4. Step 4: Simplify right side
    64,558x = 20,038,950,481
  5. Step 5: Solve for x
    x = 20,038,950,481/64,558
  6. Step 6: Final answer
    x = 310,402.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.