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Finding the Third Proportional to 102,258.50 and 209,473

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Solution

The third proportional to 102,258.50 and 209,473 is: 429,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,258.50 : 209,473 = 209,473 : x
  2. Step 2: Convert to fraction form
    102,258.50/209,473 = 209,473/x
  3. Step 3: Cross multiply
    102,258.50x = 209,473 × 209,473
  4. Step 4: Simplify right side
    102,258.50x = 43,878,937,729
  5. Step 5: Solve for x
    x = 43,878,937,729/102,258.50
  6. Step 6: Final answer
    x = 429,098.19

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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.