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Finding the Third Proportional to 309,756 and 455,562

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Solution

The third proportional to 309,756 and 455,562 is: 670,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,756 : 455,562 = 455,562 : x
  2. Step 2: Convert to fraction form
    309,756/455,562 = 455,562/x
  3. Step 3: Cross multiply
    309,756x = 455,562 × 455,562
  4. Step 4: Simplify right side
    309,756x = 207,536,735,844
  5. Step 5: Solve for x
    x = 207,536,735,844/309,756
  6. Step 6: Final answer
    x = 670,000.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.