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Finding the Third Proportional to 553,478 and 830,228

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Solution

The third proportional to 553,478 and 830,228 is: 1,245,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,478 : 830,228 = 830,228 : x
  2. Step 2: Convert to fraction form
    553,478/830,228 = 830,228/x
  3. Step 3: Cross multiply
    553,478x = 830,228 × 830,228
  4. Step 4: Simplify right side
    553,478x = 689,278,531,984
  5. Step 5: Solve for x
    x = 689,278,531,984/553,478
  6. Step 6: Final answer
    x = 1,245,358.50

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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.