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Finding the Third Proportional to 403,772 and 874,428

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Solution

The third proportional to 403,772 and 874,428 is: 1,893,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,772 : 874,428 = 874,428 : x
  2. Step 2: Convert to fraction form
    403,772/874,428 = 874,428/x
  3. Step 3: Cross multiply
    403,772x = 874,428 × 874,428
  4. Step 4: Simplify right side
    403,772x = 764,624,327,184
  5. Step 5: Solve for x
    x = 764,624,327,184/403,772
  6. Step 6: Final answer
    x = 1,893,703.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.