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Finding the Third Proportional to 389,518 and 588,490

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Solution

The third proportional to 389,518 and 588,490 is: 889,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,518 : 588,490 = 588,490 : x
  2. Step 2: Convert to fraction form
    389,518/588,490 = 588,490/x
  3. Step 3: Cross multiply
    389,518x = 588,490 × 588,490
  4. Step 4: Simplify right side
    389,518x = 346,320,480,100
  5. Step 5: Solve for x
    x = 346,320,480,100/389,518
  6. Step 6: Final answer
    x = 889,100.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.