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Finding the Third Proportional to 160,812 and 307,044

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Solution

The third proportional to 160,812 and 307,044 is: 586,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,812 : 307,044 = 307,044 : x
  2. Step 2: Convert to fraction form
    160,812/307,044 = 307,044/x
  3. Step 3: Cross multiply
    160,812x = 307,044 × 307,044
  4. Step 4: Simplify right side
    160,812x = 94,276,017,936
  5. Step 5: Solve for x
    x = 94,276,017,936/160,812
  6. Step 6: Final answer
    x = 586,249.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.