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Finding the Third Proportional to 368,306 and 553,828

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Solution

The third proportional to 368,306 and 553,828 is: 832,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,306 : 553,828 = 553,828 : x
  2. Step 2: Convert to fraction form
    368,306/553,828 = 553,828/x
  3. Step 3: Cross multiply
    368,306x = 553,828 × 553,828
  4. Step 4: Simplify right side
    368,306x = 306,725,453,584
  5. Step 5: Solve for x
    x = 306,725,453,584/368,306
  6. Step 6: Final answer
    x = 832,800.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.