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Finding the Third Proportional to 354,460.50 and 738,810

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Solution

The third proportional to 354,460.50 and 738,810 is: 1,539,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,460.50 : 738,810 = 738,810 : x
  2. Step 2: Convert to fraction form
    354,460.50/738,810 = 738,810/x
  3. Step 3: Cross multiply
    354,460.50x = 738,810 × 738,810
  4. Step 4: Simplify right side
    354,460.50x = 545,840,216,100
  5. Step 5: Solve for x
    x = 545,840,216,100/354,460.50
  6. Step 6: Final answer
    x = 1,539,918.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.