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Finding the Third Proportional to 390,208 and 583,648

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Solution

The third proportional to 390,208 and 583,648 is: 872,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,208 : 583,648 = 583,648 : x
  2. Step 2: Convert to fraction form
    390,208/583,648 = 583,648/x
  3. Step 3: Cross multiply
    390,208x = 583,648 × 583,648
  4. Step 4: Simplify right side
    390,208x = 340,644,987,904
  5. Step 5: Solve for x
    x = 340,644,987,904/390,208
  6. Step 6: Final answer
    x = 872,983.10

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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.