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Finding the Third Proportional to 284,076 and 612,216

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Solution

The third proportional to 284,076 and 612,216 is: 1,319,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,076 : 612,216 = 612,216 : x
  2. Step 2: Convert to fraction form
    284,076/612,216 = 612,216/x
  3. Step 3: Cross multiply
    284,076x = 612,216 × 612,216
  4. Step 4: Simplify right side
    284,076x = 374,808,430,656
  5. Step 5: Solve for x
    x = 374,808,430,656/284,076
  6. Step 6: Final answer
    x = 1,319,394.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.