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Finding the Third Proportional to 1,710.49 and 3,605.77

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Solution

The third proportional to 1,710.49 and 3,605.77 is: 7,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.49 : 3,605.77 = 3,605.77 : x
  2. Step 2: Convert to fraction form
    1,710.49/3,605.77 = 3,605.77/x
  3. Step 3: Cross multiply
    1,710.49x = 3,605.77 × 3,605.77
  4. Step 4: Simplify right side
    1,710.49x = 13,001,545.74
  5. Step 5: Solve for x
    x = 13,001,545.74/1,710.49
  6. Step 6: Final answer
    x = 7,601.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.