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Finding the Third Proportional to 284,871 and 615,426

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Solution

The third proportional to 284,871 and 615,426 is: 1,329,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,871 : 615,426 = 615,426 : x
  2. Step 2: Convert to fraction form
    284,871/615,426 = 615,426/x
  3. Step 3: Cross multiply
    284,871x = 615,426 × 615,426
  4. Step 4: Simplify right side
    284,871x = 378,749,161,476
  5. Step 5: Solve for x
    x = 378,749,161,476/284,871
  6. Step 6: Final answer
    x = 1,329,546.22

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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.