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Finding the Third Proportional to 489,870 and 749,349

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Solution

The third proportional to 489,870 and 749,349 is: 1,146,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,870 : 749,349 = 749,349 : x
  2. Step 2: Convert to fraction form
    489,870/749,349 = 749,349/x
  3. Step 3: Cross multiply
    489,870x = 749,349 × 749,349
  4. Step 4: Simplify right side
    489,870x = 561,523,923,801
  5. Step 5: Solve for x
    x = 561,523,923,801/489,870
  6. Step 6: Final answer
    x = 1,146,271.30

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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.