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Finding the Third Proportional to 201,126 and 442,428

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Solution

The third proportional to 201,126 and 442,428 is: 973,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,126 : 442,428 = 442,428 : x
  2. Step 2: Convert to fraction form
    201,126/442,428 = 442,428/x
  3. Step 3: Cross multiply
    201,126x = 442,428 × 442,428
  4. Step 4: Simplify right side
    201,126x = 195,742,535,184
  5. Step 5: Solve for x
    x = 195,742,535,184/201,126
  6. Step 6: Final answer
    x = 973,233.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.