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Finding the Third Proportional to 290,653 and 390,592

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Solution

The third proportional to 290,653 and 390,592 is: 524,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,653 : 390,592 = 390,592 : x
  2. Step 2: Convert to fraction form
    290,653/390,592 = 390,592/x
  3. Step 3: Cross multiply
    290,653x = 390,592 × 390,592
  4. Step 4: Simplify right side
    290,653x = 152,562,110,464
  5. Step 5: Solve for x
    x = 152,562,110,464/290,653
  6. Step 6: Final answer
    x = 524,894.33

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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.