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Finding the Third Proportional to 540,970.50 and 842,074.50

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Solution

The third proportional to 540,970.50 and 842,074.50 is: 1,310,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,970.50 : 842,074.50 = 842,074.50 : x
  2. Step 2: Convert to fraction form
    540,970.50/842,074.50 = 842,074.50/x
  3. Step 3: Cross multiply
    540,970.50x = 842,074.50 × 842,074.50
  4. Step 4: Simplify right side
    540,970.50x = 709,089,463,550.25
  5. Step 5: Solve for x
    x = 709,089,463,550.25/540,970.50
  6. Step 6: Final answer
    x = 1,310,772.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.