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Finding the Third Proportional to 72,709,674 and 159,101,218.50

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Solution

The third proportional to 72,709,674 and 159,101,218.50 is: 348,140,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709,674 : 159,101,218.50 = 159,101,218.50 : x
  2. Step 2: Convert to fraction form
    72,709,674/159,101,218.50 = 159,101,218.50/x
  3. Step 3: Cross multiply
    72,709,674x = 159,101,218.50 × 159,101,218.50
  4. Step 4: Simplify right side
    72,709,674x = 25,313,197,728,184,744
  5. Step 5: Solve for x
    x = 25,313,197,728,184,744/72,709,674
  6. Step 6: Final answer
    x = 348,140,712.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.