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Finding the Third Proportional to 489,322 and 749,535

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Solution

The third proportional to 489,322 and 749,535 is: 1,148,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,322 : 749,535 = 749,535 : x
  2. Step 2: Convert to fraction form
    489,322/749,535 = 749,535/x
  3. Step 3: Cross multiply
    489,322x = 749,535 × 749,535
  4. Step 4: Simplify right side
    489,322x = 561,802,716,225
  5. Step 5: Solve for x
    x = 561,802,716,225/489,322
  6. Step 6: Final answer
    x = 1,148,124.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.