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Finding the Third Proportional to 289,406 and 620,342

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Solution

The third proportional to 289,406 and 620,342 is: 1,329,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,406 : 620,342 = 620,342 : x
  2. Step 2: Convert to fraction form
    289,406/620,342 = 620,342/x
  3. Step 3: Cross multiply
    289,406x = 620,342 × 620,342
  4. Step 4: Simplify right side
    289,406x = 384,824,196,964
  5. Step 5: Solve for x
    x = 384,824,196,964/289,406
  6. Step 6: Final answer
    x = 1,329,703.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.