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Finding the Third Proportional to 389,856 and 583,248

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Solution

The third proportional to 389,856 and 583,248 is: 872,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,856 : 583,248 = 583,248 : x
  2. Step 2: Convert to fraction form
    389,856/583,248 = 583,248/x
  3. Step 3: Cross multiply
    389,856x = 583,248 × 583,248
  4. Step 4: Simplify right side
    389,856x = 340,178,229,504
  5. Step 5: Solve for x
    x = 340,178,229,504/389,856
  6. Step 6: Final answer
    x = 872,574.05

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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.