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Finding the Third Proportional to 145,564 and 220,972

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Solution

The third proportional to 145,564 and 220,972 is: 335,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,564 : 220,972 = 220,972 : x
  2. Step 2: Convert to fraction form
    145,564/220,972 = 220,972/x
  3. Step 3: Cross multiply
    145,564x = 220,972 × 220,972
  4. Step 4: Simplify right side
    145,564x = 48,828,624,784
  5. Step 5: Solve for x
    x = 48,828,624,784/145,564
  6. Step 6: Final answer
    x = 335,444.37

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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.