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Finding the Third Proportional to 489,926 and 749,460

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Solution

The third proportional to 489,926 and 749,460 is: 1,146,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,926 : 749,460 = 749,460 : x
  2. Step 2: Convert to fraction form
    489,926/749,460 = 749,460/x
  3. Step 3: Cross multiply
    489,926x = 749,460 × 749,460
  4. Step 4: Simplify right side
    489,926x = 561,690,291,600
  5. Step 5: Solve for x
    x = 561,690,291,600/489,926
  6. Step 6: Final answer
    x = 1,146,479.86

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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.