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Finding the Third Proportional to 285,687 and 545,454

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Solution

The third proportional to 285,687 and 545,454 is: 1,041,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,687 : 545,454 = 545,454 : x
  2. Step 2: Convert to fraction form
    285,687/545,454 = 545,454/x
  3. Step 3: Cross multiply
    285,687x = 545,454 × 545,454
  4. Step 4: Simplify right side
    285,687x = 297,520,066,116
  5. Step 5: Solve for x
    x = 297,520,066,116/285,687
  6. Step 6: Final answer
    x = 1,041,419.69

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.