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Finding the Third Proportional to 553,628 and 867,345

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Solution

The third proportional to 553,628 and 867,345 is: 1,358,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,628 : 867,345 = 867,345 : x
  2. Step 2: Convert to fraction form
    553,628/867,345 = 867,345/x
  3. Step 3: Cross multiply
    553,628x = 867,345 × 867,345
  4. Step 4: Simplify right side
    553,628x = 752,287,349,025
  5. Step 5: Solve for x
    x = 752,287,349,025/553,628
  6. Step 6: Final answer
    x = 1,358,831.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.