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Finding the Third Proportional to 389,990 and 570,213

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Solution

The third proportional to 389,990 and 570,213 is: 833,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,990 : 570,213 = 570,213 : x
  2. Step 2: Convert to fraction form
    389,990/570,213 = 570,213/x
  3. Step 3: Cross multiply
    389,990x = 570,213 × 570,213
  4. Step 4: Simplify right side
    389,990x = 325,142,865,369
  5. Step 5: Solve for x
    x = 325,142,865,369/389,990
  6. Step 6: Final answer
    x = 833,721.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.