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Finding the Third Proportional to 389,814 and 583,128

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Solution

The third proportional to 389,814 and 583,128 is: 872,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,814 : 583,128 = 583,128 : x
  2. Step 2: Convert to fraction form
    389,814/583,128 = 583,128/x
  3. Step 3: Cross multiply
    389,814x = 583,128 × 583,128
  4. Step 4: Simplify right side
    389,814x = 340,038,264,384
  5. Step 5: Solve for x
    x = 340,038,264,384/389,814
  6. Step 6: Final answer
    x = 872,309.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.