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Finding the Third Proportional to 161,572 and 330,980

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Solution

The third proportional to 161,572 and 330,980 is: 678,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,572 : 330,980 = 330,980 : x
  2. Step 2: Convert to fraction form
    161,572/330,980 = 330,980/x
  3. Step 3: Cross multiply
    161,572x = 330,980 × 330,980
  4. Step 4: Simplify right side
    161,572x = 109,547,760,400
  5. Step 5: Solve for x
    x = 109,547,760,400/161,572
  6. Step 6: Final answer
    x = 678,012.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.