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Finding the Third Proportional to 553,536 and 856,128

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Solution

The third proportional to 553,536 and 856,128 is: 1,324,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,536 : 856,128 = 856,128 : x
  2. Step 2: Convert to fraction form
    553,536/856,128 = 856,128/x
  3. Step 3: Cross multiply
    553,536x = 856,128 × 856,128
  4. Step 4: Simplify right side
    553,536x = 732,955,152,384
  5. Step 5: Solve for x
    x = 732,955,152,384/553,536
  6. Step 6: Final answer
    x = 1,324,132.76

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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.