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Finding the Third Proportional to 78,035,922 and 180,707,967

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Solution

The third proportional to 78,035,922 and 180,707,967 is: 418,465,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,035,922 : 180,707,967 = 180,707,967 : x
  2. Step 2: Convert to fraction form
    78,035,922/180,707,967 = 180,707,967/x
  3. Step 3: Cross multiply
    78,035,922x = 180,707,967 × 180,707,967
  4. Step 4: Simplify right side
    78,035,922x = 32,655,369,337,273,088
  5. Step 5: Solve for x
    x = 32,655,369,337,273,088/78,035,922
  6. Step 6: Final answer
    x = 418,465,861.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.