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Finding the Third Proportional to 125,428.50 and 268,312.50

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Solution

The third proportional to 125,428.50 and 268,312.50 is: 573,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,428.50 : 268,312.50 = 268,312.50 : x
  2. Step 2: Convert to fraction form
    125,428.50/268,312.50 = 268,312.50/x
  3. Step 3: Cross multiply
    125,428.50x = 268,312.50 × 268,312.50
  4. Step 4: Simplify right side
    125,428.50x = 71,991,597,656.25
  5. Step 5: Solve for x
    x = 71,991,597,656.25/125,428.50
  6. Step 6: Final answer
    x = 573,965.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.