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Finding the Third Proportional to 290,358 and 625,216

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Solution

The third proportional to 290,358 and 625,216 is: 1,346,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,358 : 625,216 = 625,216 : x
  2. Step 2: Convert to fraction form
    290,358/625,216 = 625,216/x
  3. Step 3: Cross multiply
    290,358x = 625,216 × 625,216
  4. Step 4: Simplify right side
    290,358x = 390,895,046,656
  5. Step 5: Solve for x
    x = 390,895,046,656/290,358
  6. Step 6: Final answer
    x = 1,346,252.03

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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.