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Finding the Third Proportional to 265,878 and 578,412

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Solution

The third proportional to 265,878 and 578,412 is: 1,258,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,878 : 578,412 = 578,412 : x
  2. Step 2: Convert to fraction form
    265,878/578,412 = 578,412/x
  3. Step 3: Cross multiply
    265,878x = 578,412 × 578,412
  4. Step 4: Simplify right side
    265,878x = 334,560,441,744
  5. Step 5: Solve for x
    x = 334,560,441,744/265,878
  6. Step 6: Final answer
    x = 1,258,323.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.