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Finding the Third Proportional to 489,697 and 749,033

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Solution

The third proportional to 489,697 and 749,033 is: 1,145,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,697 : 749,033 = 749,033 : x
  2. Step 2: Convert to fraction form
    489,697/749,033 = 749,033/x
  3. Step 3: Cross multiply
    489,697x = 749,033 × 749,033
  4. Step 4: Simplify right side
    489,697x = 561,050,435,089
  5. Step 5: Solve for x
    x = 561,050,435,089/489,697
  6. Step 6: Final answer
    x = 1,145,709.36

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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.