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Finding the Third Proportional to 208,117 and 455,440

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Solution

The third proportional to 208,117 and 455,440 is: 996,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,117 : 455,440 = 455,440 : x
  2. Step 2: Convert to fraction form
    208,117/455,440 = 455,440/x
  3. Step 3: Cross multiply
    208,117x = 455,440 × 455,440
  4. Step 4: Simplify right side
    208,117x = 207,425,593,600
  5. Step 5: Solve for x
    x = 207,425,593,600/208,117
  6. Step 6: Final answer
    x = 996,677.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.