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Finding the Third Proportional to 413,139 and 875,880

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Solution

The third proportional to 413,139 and 875,880 is: 1,856,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,139 : 875,880 = 875,880 : x
  2. Step 2: Convert to fraction form
    413,139/875,880 = 875,880/x
  3. Step 3: Cross multiply
    413,139x = 875,880 × 875,880
  4. Step 4: Simplify right side
    413,139x = 767,165,774,400
  5. Step 5: Solve for x
    x = 767,165,774,400/413,139
  6. Step 6: Final answer
    x = 1,856,919.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.