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Finding the Third Proportional to 389,058 and 583,586

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Solution

The third proportional to 389,058 and 583,586 is: 875,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,058 : 583,586 = 583,586 : x
  2. Step 2: Convert to fraction form
    389,058/583,586 = 583,586/x
  3. Step 3: Cross multiply
    389,058x = 583,586 × 583,586
  4. Step 4: Simplify right side
    389,058x = 340,572,619,396
  5. Step 5: Solve for x
    x = 340,572,619,396/389,058
  6. Step 6: Final answer
    x = 875,377.50

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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.