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Finding the Third Proportional to 521,710 and 829,258

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Solution

The third proportional to 521,710 and 829,258 is: 1,318,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,710 : 829,258 = 829,258 : x
  2. Step 2: Convert to fraction form
    521,710/829,258 = 829,258/x
  3. Step 3: Cross multiply
    521,710x = 829,258 × 829,258
  4. Step 4: Simplify right side
    521,710x = 687,668,830,564
  5. Step 5: Solve for x
    x = 687,668,830,564/521,710
  6. Step 6: Final answer
    x = 1,318,105.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.