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Finding the Third Proportional to 470,676,892.50 and 1,026,102,110.63

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Solution

The third proportional to 470,676,892.50 and 1,026,102,110.63 is: 2,236,960,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,892.50 : 1,026,102,110.63 = 1,026,102,110.63 : x
  2. Step 2: Convert to fraction form
    470,676,892.50/1,026,102,110.63 = 1,026,102,110.63/x
  3. Step 3: Cross multiply
    470,676,892.50x = 1,026,102,110.63 × 1,026,102,110.63
  4. Step 4: Simplify right side
    470,676,892.50x = 1,052,885,541,429,079,680
  5. Step 5: Solve for x
    x = 1,052,885,541,429,079,680/470,676,892.50
  6. Step 6: Final answer
    x = 2,236,960,339.90

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