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Finding the Third Proportional to 215,282.81 and 320,463.84

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Solution

The third proportional to 215,282.81 and 320,463.84 is: 477,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,282.81 : 320,463.84 = 320,463.84 : x
  2. Step 2: Convert to fraction form
    215,282.81/320,463.84 = 320,463.84/x
  3. Step 3: Cross multiply
    215,282.81x = 320,463.84 × 320,463.84
  4. Step 4: Simplify right side
    215,282.81x = 102,697,075,151.02
  5. Step 5: Solve for x
    x = 102,697,075,151.02/215,282.81
  6. Step 6: Final answer
    x = 477,033.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.