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Finding the Third Proportional to 289,426 and 452,659

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Solution

The third proportional to 289,426 and 452,659 is: 707,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,426 : 452,659 = 452,659 : x
  2. Step 2: Convert to fraction form
    289,426/452,659 = 452,659/x
  3. Step 3: Cross multiply
    289,426x = 452,659 × 452,659
  4. Step 4: Simplify right side
    289,426x = 204,900,170,281
  5. Step 5: Solve for x
    x = 204,900,170,281/289,426
  6. Step 6: Final answer
    x = 707,953.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.