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Finding the Third Proportional to 1,685.63 and 2,564.81

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Solution

The third proportional to 1,685.63 and 2,564.81 is: 3,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.63 : 2,564.81 = 2,564.81 : x
  2. Step 2: Convert to fraction form
    1,685.63/2,564.81 = 2,564.81/x
  3. Step 3: Cross multiply
    1,685.63x = 2,564.81 × 2,564.81
  4. Step 4: Simplify right side
    1,685.63x = 6,578,263.16
  5. Step 5: Solve for x
    x = 6,578,263.16/1,685.63
  6. Step 6: Final answer
    x = 3,902.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.