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Finding the Third Proportional to 388,932 and 583,407

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Solution

The third proportional to 388,932 and 583,407 is: 875,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,932 : 583,407 = 583,407 : x
  2. Step 2: Convert to fraction form
    388,932/583,407 = 583,407/x
  3. Step 3: Cross multiply
    388,932x = 583,407 × 583,407
  4. Step 4: Simplify right side
    388,932x = 340,363,727,649
  5. Step 5: Solve for x
    x = 340,363,727,649/388,932
  6. Step 6: Final answer
    x = 875,124.00

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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.