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Finding the Third Proportional to 409,216 and 875,280

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Solution

The third proportional to 409,216 and 875,280 is: 1,872,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,216 : 875,280 = 875,280 : x
  2. Step 2: Convert to fraction form
    409,216/875,280 = 875,280/x
  3. Step 3: Cross multiply
    409,216x = 875,280 × 875,280
  4. Step 4: Simplify right side
    409,216x = 766,115,078,400
  5. Step 5: Solve for x
    x = 766,115,078,400/409,216
  6. Step 6: Final answer
    x = 1,872,153.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.