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Finding the Third Proportional to 72,155,819 and 157,542,613

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Solution

The third proportional to 72,155,819 and 157,542,613 is: 343,973,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,155,819 : 157,542,613 = 157,542,613 : x
  2. Step 2: Convert to fraction form
    72,155,819/157,542,613 = 157,542,613/x
  3. Step 3: Cross multiply
    72,155,819x = 157,542,613 × 157,542,613
  4. Step 4: Simplify right side
    72,155,819x = 24,819,674,910,867,768
  5. Step 5: Solve for x
    x = 24,819,674,910,867,768/72,155,819
  6. Step 6: Final answer
    x = 343,973,296.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.