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Finding the Third Proportional to 161,575 and 330,985

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Solution

The third proportional to 161,575 and 330,985 is: 678,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,575 : 330,985 = 330,985 : x
  2. Step 2: Convert to fraction form
    161,575/330,985 = 330,985/x
  3. Step 3: Cross multiply
    161,575x = 330,985 × 330,985
  4. Step 4: Simplify right side
    161,575x = 109,551,070,225
  5. Step 5: Solve for x
    x = 109,551,070,225/161,575
  6. Step 6: Final answer
    x = 678,019.93

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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.