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Finding the Third Proportional to 358,480 and 550,253

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Solution

The third proportional to 358,480 and 550,253 is: 844,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,480 : 550,253 = 550,253 : x
  2. Step 2: Convert to fraction form
    358,480/550,253 = 550,253/x
  3. Step 3: Cross multiply
    358,480x = 550,253 × 550,253
  4. Step 4: Simplify right side
    358,480x = 302,778,364,009
  5. Step 5: Solve for x
    x = 302,778,364,009/358,480
  6. Step 6: Final answer
    x = 844,617.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.