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Finding the Third Proportional to 154,346,796 and 321,395,688

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Solution

The third proportional to 154,346,796 and 321,395,688 is: 669,240,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,346,796 : 321,395,688 = 321,395,688 : x
  2. Step 2: Convert to fraction form
    154,346,796/321,395,688 = 321,395,688/x
  3. Step 3: Cross multiply
    154,346,796x = 321,395,688 × 321,395,688
  4. Step 4: Simplify right side
    154,346,796x = 103,295,188,264,993,344
  5. Step 5: Solve for x
    x = 103,295,188,264,993,344/154,346,796
  6. Step 6: Final answer
    x = 669,240,897.39

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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.