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Finding the Third Proportional to 358,948 and 553,398

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Solution

The third proportional to 358,948 and 553,398 is: 853,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,948 : 553,398 = 553,398 : x
  2. Step 2: Convert to fraction form
    358,948/553,398 = 553,398/x
  3. Step 3: Cross multiply
    358,948x = 553,398 × 553,398
  4. Step 4: Simplify right side
    358,948x = 306,249,346,404
  5. Step 5: Solve for x
    x = 306,249,346,404/358,948
  6. Step 6: Final answer
    x = 853,185.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.