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Finding the Third Proportional to 265,886 and 578,428

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Solution

The third proportional to 265,886 and 578,428 is: 1,258,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,886 : 578,428 = 578,428 : x
  2. Step 2: Convert to fraction form
    265,886/578,428 = 578,428/x
  3. Step 3: Cross multiply
    265,886x = 578,428 × 578,428
  4. Step 4: Simplify right side
    265,886x = 334,578,951,184
  5. Step 5: Solve for x
    x = 334,578,951,184/265,886
  6. Step 6: Final answer
    x = 1,258,354.90

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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.