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Finding the Third Proportional to 389,700 and 584,550

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Solution

The third proportional to 389,700 and 584,550 is: 876,825

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,700 : 584,550 = 584,550 : x
  2. Step 2: Convert to fraction form
    389,700/584,550 = 584,550/x
  3. Step 3: Cross multiply
    389,700x = 584,550 × 584,550
  4. Step 4: Simplify right side
    389,700x = 341,698,702,500
  5. Step 5: Solve for x
    x = 341,698,702,500/389,700
  6. Step 6: Final answer
    x = 876,825

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.