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Finding the Third Proportional to 149,468,352 and 321,985,920

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Solution

The third proportional to 149,468,352 and 321,985,920 is: 693,624,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,468,352 : 321,985,920 = 321,985,920 : x
  2. Step 2: Convert to fraction form
    149,468,352/321,985,920 = 321,985,920/x
  3. Step 3: Cross multiply
    149,468,352x = 321,985,920 × 321,985,920
  4. Step 4: Simplify right side
    149,468,352x = 103,674,932,678,246,400
  5. Step 5: Solve for x
    x = 103,674,932,678,246,400/149,468,352
  6. Step 6: Final answer
    x = 693,624,645.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.