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Finding the Third Proportional to 345,074.63 and 738,123.75

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Solution

The third proportional to 345,074.63 and 738,123.75 is: 1,578,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,074.63 : 738,123.75 = 738,123.75 : x
  2. Step 2: Convert to fraction form
    345,074.63/738,123.75 = 738,123.75/x
  3. Step 3: Cross multiply
    345,074.63x = 738,123.75 × 738,123.75
  4. Step 4: Simplify right side
    345,074.63x = 544,826,670,314.06
  5. Step 5: Solve for x
    x = 544,826,670,314.06/345,074.63
  6. Step 6: Final answer
    x = 1,578,866.22

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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.