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Finding the Third Proportional to 390,224 and 583,664

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Solution

The third proportional to 390,224 and 583,664 is: 872,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,224 : 583,664 = 583,664 : x
  2. Step 2: Convert to fraction form
    390,224/583,664 = 583,664/x
  3. Step 3: Cross multiply
    390,224x = 583,664 × 583,664
  4. Step 4: Simplify right side
    390,224x = 340,663,664,896
  5. Step 5: Solve for x
    x = 340,663,664,896/390,224
  6. Step 6: Final answer
    x = 872,995.16

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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.