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Finding the Third Proportional to 74,307 and 115,105

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Solution

The third proportional to 74,307 and 115,105 is: 178,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,307 : 115,105 = 115,105 : x
  2. Step 2: Convert to fraction form
    74,307/115,105 = 115,105/x
  3. Step 3: Cross multiply
    74,307x = 115,105 × 115,105
  4. Step 4: Simplify right side
    74,307x = 13,249,161,025
  5. Step 5: Solve for x
    x = 13,249,161,025/74,307
  6. Step 6: Final answer
    x = 178,303.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.