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Finding the Third Proportional to 208,438.50 and 455,013

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Solution

The third proportional to 208,438.50 and 455,013 is: 993,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438.50 : 455,013 = 455,013 : x
  2. Step 2: Convert to fraction form
    208,438.50/455,013 = 455,013/x
  3. Step 3: Cross multiply
    208,438.50x = 455,013 × 455,013
  4. Step 4: Simplify right side
    208,438.50x = 207,036,830,169
  5. Step 5: Solve for x
    x = 207,036,830,169/208,438.50
  6. Step 6: Final answer
    x = 993,275.38

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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.