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Finding the Third Proportional to 212,784 and 315,056

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Solution

The third proportional to 212,784 and 315,056 is: 466,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,784 : 315,056 = 315,056 : x
  2. Step 2: Convert to fraction form
    212,784/315,056 = 315,056/x
  3. Step 3: Cross multiply
    212,784x = 315,056 × 315,056
  4. Step 4: Simplify right side
    212,784x = 99,260,283,136
  5. Step 5: Solve for x
    x = 99,260,283,136/212,784
  6. Step 6: Final answer
    x = 466,483.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.