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Finding the Third Proportional to 479,221,483.50 and 684,819,964.75

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Solution

The third proportional to 479,221,483.50 and 684,819,964.75 is: 978,625,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,221,483.50 : 684,819,964.75 = 684,819,964.75 : x
  2. Step 2: Convert to fraction form
    479,221,483.50/684,819,964.75 = 684,819,964.75/x
  3. Step 3: Cross multiply
    479,221,483.50x = 684,819,964.75 × 684,819,964.75
  4. Step 4: Simplify right side
    479,221,483.50x = 468,978,384,120,191,232
  5. Step 5: Solve for x
    x = 468,978,384,120,191,232/479,221,483.50
  6. Step 6: Final answer
    x = 978,625,542.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.