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Finding the Third Proportional to 389,574 and 584,361

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Solution

The third proportional to 389,574 and 584,361 is: 876,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,574 : 584,361 = 584,361 : x
  2. Step 2: Convert to fraction form
    389,574/584,361 = 584,361/x
  3. Step 3: Cross multiply
    389,574x = 584,361 × 584,361
  4. Step 4: Simplify right side
    389,574x = 341,477,778,321
  5. Step 5: Solve for x
    x = 341,477,778,321/389,574
  6. Step 6: Final answer
    x = 876,541.50

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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.