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Finding the Third Proportional to 357,043 and 521,881

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Solution

The third proportional to 357,043 and 521,881 is: 762,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,043 : 521,881 = 521,881 : x
  2. Step 2: Convert to fraction form
    357,043/521,881 = 521,881/x
  3. Step 3: Cross multiply
    357,043x = 521,881 × 521,881
  4. Step 4: Simplify right side
    357,043x = 272,359,778,161
  5. Step 5: Solve for x
    x = 272,359,778,161/357,043
  6. Step 6: Final answer
    x = 762,820.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.