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Finding the Third Proportional to 208,547 and 455,315

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Solution

The third proportional to 208,547 and 455,315 is: 994,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,547 : 455,315 = 455,315 : x
  2. Step 2: Convert to fraction form
    208,547/455,315 = 455,315/x
  3. Step 3: Cross multiply
    208,547x = 455,315 × 455,315
  4. Step 4: Simplify right side
    208,547x = 207,311,749,225
  5. Step 5: Solve for x
    x = 207,311,749,225/208,547
  6. Step 6: Final answer
    x = 994,076.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.