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Finding the Third Proportional to 290,363 and 625,213

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Solution

The third proportional to 290,363 and 625,213 is: 1,346,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,363 : 625,213 = 625,213 : x
  2. Step 2: Convert to fraction form
    290,363/625,213 = 625,213/x
  3. Step 3: Cross multiply
    290,363x = 625,213 × 625,213
  4. Step 4: Simplify right side
    290,363x = 390,891,295,369
  5. Step 5: Solve for x
    x = 390,891,295,369/290,363
  6. Step 6: Final answer
    x = 1,346,215.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.