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Finding the Third Proportional to 489,807 and 749,304

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Solution

The third proportional to 489,807 and 749,304 is: 1,146,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,807 : 749,304 = 749,304 : x
  2. Step 2: Convert to fraction form
    489,807/749,304 = 749,304/x
  3. Step 3: Cross multiply
    489,807x = 749,304 × 749,304
  4. Step 4: Simplify right side
    489,807x = 561,456,484,416
  5. Step 5: Solve for x
    x = 561,456,484,416/489,807
  6. Step 6: Final answer
    x = 1,146,281.05

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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.