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Finding the Third Proportional to 102,312 and 209,544.19

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Solution

The third proportional to 102,312 and 209,544.19 is: 429,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,312 : 209,544.19 = 209,544.19 : x
  2. Step 2: Convert to fraction form
    102,312/209,544.19 = 209,544.19/x
  3. Step 3: Cross multiply
    102,312x = 209,544.19 × 209,544.19
  4. Step 4: Simplify right side
    102,312x = 43,908,766,515.04
  5. Step 5: Solve for x
    x = 43,908,766,515.04/102,312
  6. Step 6: Final answer
    x = 429,165.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.