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Finding the Third Proportional to 358,966 and 555,758

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Solution

The third proportional to 358,966 and 555,758 is: 860,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,966 : 555,758 = 555,758 : x
  2. Step 2: Convert to fraction form
    358,966/555,758 = 555,758/x
  3. Step 3: Cross multiply
    358,966x = 555,758 × 555,758
  4. Step 4: Simplify right side
    358,966x = 308,866,954,564
  5. Step 5: Solve for x
    x = 308,866,954,564/358,966
  6. Step 6: Final answer
    x = 860,435.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.