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Finding the Third Proportional to 380,999,824 and 807,780,960

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Solution

The third proportional to 380,999,824 and 807,780,960 is: 1,712,625,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,999,824 : 807,780,960 = 807,780,960 : x
  2. Step 2: Convert to fraction form
    380,999,824/807,780,960 = 807,780,960/x
  3. Step 3: Cross multiply
    380,999,824x = 807,780,960 × 807,780,960
  4. Step 4: Simplify right side
    380,999,824x = 652,510,079,338,521,600
  5. Step 5: Solve for x
    x = 652,510,079,338,521,600/380,999,824
  6. Step 6: Final answer
    x = 1,712,625,671.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.