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Finding the Third Proportional to 316,069 and 489,079.50

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Solution

The third proportional to 316,069 and 489,079.50 is: 756,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,069 : 489,079.50 = 489,079.50 : x
  2. Step 2: Convert to fraction form
    316,069/489,079.50 = 489,079.50/x
  3. Step 3: Cross multiply
    316,069x = 489,079.50 × 489,079.50
  4. Step 4: Simplify right side
    316,069x = 239,198,757,320.25
  5. Step 5: Solve for x
    x = 239,198,757,320.25/316,069
  6. Step 6: Final answer
    x = 756,792.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.