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Finding the Third Proportional to 245,308 and 455,624

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Solution

The third proportional to 245,308 and 455,624 is: 846,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,308 : 455,624 = 455,624 : x
  2. Step 2: Convert to fraction form
    245,308/455,624 = 455,624/x
  3. Step 3: Cross multiply
    245,308x = 455,624 × 455,624
  4. Step 4: Simplify right side
    245,308x = 207,593,229,376
  5. Step 5: Solve for x
    x = 207,593,229,376/245,308
  6. Step 6: Final answer
    x = 846,255.44

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.