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Finding the Third Proportional to 145,973 and 219,607

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Solution

The third proportional to 145,973 and 219,607 is: 330,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,973 : 219,607 = 219,607 : x
  2. Step 2: Convert to fraction form
    145,973/219,607 = 219,607/x
  3. Step 3: Cross multiply
    145,973x = 219,607 × 219,607
  4. Step 4: Simplify right side
    145,973x = 48,227,234,449
  5. Step 5: Solve for x
    x = 48,227,234,449/145,973
  6. Step 6: Final answer
    x = 330,384.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.