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Finding the Third Proportional to 219,919,372 and 322,689,632

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Solution

The third proportional to 219,919,372 and 322,689,632 is: 473,485,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,919,372 : 322,689,632 = 322,689,632 : x
  2. Step 2: Convert to fraction form
    219,919,372/322,689,632 = 322,689,632/x
  3. Step 3: Cross multiply
    219,919,372x = 322,689,632 × 322,689,632
  4. Step 4: Simplify right side
    219,919,372x = 104,128,598,600,295,424
  5. Step 5: Solve for x
    x = 104,128,598,600,295,424/219,919,372
  6. Step 6: Final answer
    x = 473,485,339.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.