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Finding the Third Proportional to 357,844 and 553,398

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Solution

The third proportional to 357,844 and 553,398 is: 855,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,844 : 553,398 = 553,398 : x
  2. Step 2: Convert to fraction form
    357,844/553,398 = 553,398/x
  3. Step 3: Cross multiply
    357,844x = 553,398 × 553,398
  4. Step 4: Simplify right side
    357,844x = 306,249,346,404
  5. Step 5: Solve for x
    x = 306,249,346,404/357,844
  6. Step 6: Final answer
    x = 855,818.03

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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.