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Finding the Third Proportional to 143,290,624 and 312,520,910

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Solution

The third proportional to 143,290,624 and 312,520,910 is: 681,616,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,290,624 : 312,520,910 = 312,520,910 : x
  2. Step 2: Convert to fraction form
    143,290,624/312,520,910 = 312,520,910/x
  3. Step 3: Cross multiply
    143,290,624x = 312,520,910 × 312,520,910
  4. Step 4: Simplify right side
    143,290,624x = 97,669,319,187,228,096
  5. Step 5: Solve for x
    x = 97,669,319,187,228,096/143,290,624
  6. Step 6: Final answer
    x = 681,616,957.63

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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.