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Finding the Third Proportional to 265,882 and 578,420

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Solution

The third proportional to 265,882 and 578,420 is: 1,258,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,882 : 578,420 = 578,420 : x
  2. Step 2: Convert to fraction form
    265,882/578,420 = 578,420/x
  3. Step 3: Cross multiply
    265,882x = 578,420 × 578,420
  4. Step 4: Simplify right side
    265,882x = 334,569,696,400
  5. Step 5: Solve for x
    x = 334,569,696,400/265,882
  6. Step 6: Final answer
    x = 1,258,339.02

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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.