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Finding the Third Proportional to 290,652 and 390,591

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Solution

The third proportional to 290,652 and 390,591 is: 524,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,652 : 390,591 = 390,591 : x
  2. Step 2: Convert to fraction form
    290,652/390,591 = 390,591/x
  3. Step 3: Cross multiply
    290,652x = 390,591 × 390,591
  4. Step 4: Simplify right side
    290,652x = 152,561,329,281
  5. Step 5: Solve for x
    x = 152,561,329,281/290,652
  6. Step 6: Final answer
    x = 524,893.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.