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Finding the Third Proportional to 220,845,508 and 478,496,470

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Solution

The third proportional to 220,845,508 and 478,496,470 is: 1,036,737,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,508 : 478,496,470 = 478,496,470 : x
  2. Step 2: Convert to fraction form
    220,845,508/478,496,470 = 478,496,470/x
  3. Step 3: Cross multiply
    220,845,508x = 478,496,470 × 478,496,470
  4. Step 4: Simplify right side
    220,845,508x = 228,958,871,802,460,896
  5. Step 5: Solve for x
    x = 228,958,871,802,460,896/220,845,508
  6. Step 6: Final answer
    x = 1,036,737,735.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.