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Finding the Third Proportional to 528,228 and 717,174

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Solution

The third proportional to 528,228 and 717,174 is: 973,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,228 : 717,174 = 717,174 : x
  2. Step 2: Convert to fraction form
    528,228/717,174 = 717,174/x
  3. Step 3: Cross multiply
    528,228x = 717,174 × 717,174
  4. Step 4: Simplify right side
    528,228x = 514,338,546,276
  5. Step 5: Solve for x
    x = 514,338,546,276/528,228
  6. Step 6: Final answer
    x = 973,705.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.