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Finding the Third Proportional to 1,341.40 and 1,953.81

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Solution

The third proportional to 1,341.40 and 1,953.81 is: 2,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.40 : 1,953.81 = 1,953.81 : x
  2. Step 2: Convert to fraction form
    1,341.40/1,953.81 = 1,953.81/x
  3. Step 3: Cross multiply
    1,341.40x = 1,953.81 × 1,953.81
  4. Step 4: Simplify right side
    1,341.40x = 3,817,368.02
  5. Step 5: Solve for x
    x = 3,817,368.02/1,341.40
  6. Step 6: Final answer
    x = 2,845.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.