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Finding the Third Proportional to 265,880 and 578,416

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Solution

The third proportional to 265,880 and 578,416 is: 1,258,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,880 : 578,416 = 578,416 : x
  2. Step 2: Convert to fraction form
    265,880/578,416 = 578,416/x
  3. Step 3: Cross multiply
    265,880x = 578,416 × 578,416
  4. Step 4: Simplify right side
    265,880x = 334,565,069,056
  5. Step 5: Solve for x
    x = 334,565,069,056/265,880
  6. Step 6: Final answer
    x = 1,258,331.09

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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.