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Finding the Third Proportional to 322,152,404,580 and 484,573,592,916

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Solution

The third proportional to 322,152,404,580 and 484,573,592,916 is: 728,883,483,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,152,404,580 : 484,573,592,916 = 484,573,592,916 : x
  2. Step 2: Convert to fraction form
    322,152,404,580/484,573,592,916 = 484,573,592,916/x
  3. Step 3: Cross multiply
    322,152,404,580x = 484,573,592,916 × 484,573,592,916
  4. Step 4: Simplify right side
    322,152,404,580x = 234,811,566,951,521,299,988,480
  5. Step 5: Solve for x
    x = 234,811,566,951,521,299,988,480/322,152,404,580
  6. Step 6: Final answer
    x = 728,883,483,758.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.