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Finding the Third Proportional to 148,751,091 and 321,403,905

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Solution

The third proportional to 148,751,091 and 321,403,905 is: 694,451,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,751,091 : 321,403,905 = 321,403,905 : x
  2. Step 2: Convert to fraction form
    148,751,091/321,403,905 = 321,403,905/x
  3. Step 3: Cross multiply
    148,751,091x = 321,403,905 × 321,403,905
  4. Step 4: Simplify right side
    148,751,091x = 103,300,470,149,249,024
  5. Step 5: Solve for x
    x = 103,300,470,149,249,024/148,751,091
  6. Step 6: Final answer
    x = 694,451,848.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.