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Finding the Third Proportional to 324,829,782 and 533,243,889

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Solution

The third proportional to 324,829,782 and 533,243,889 is: 875,378,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,829,782 : 533,243,889 = 533,243,889 : x
  2. Step 2: Convert to fraction form
    324,829,782/533,243,889 = 533,243,889/x
  3. Step 3: Cross multiply
    324,829,782x = 533,243,889 × 533,243,889
  4. Step 4: Simplify right side
    324,829,782x = 284,349,045,155,844,320
  5. Step 5: Solve for x
    x = 284,349,045,155,844,320/324,829,782
  6. Step 6: Final answer
    x = 875,378,616.47

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.