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Finding the Third Proportional to 211,569,869 and 320,554,560

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Solution

The third proportional to 211,569,869 and 320,554,560 is: 485,679,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,569,869 : 320,554,560 = 320,554,560 : x
  2. Step 2: Convert to fraction form
    211,569,869/320,554,560 = 320,554,560/x
  3. Step 3: Cross multiply
    211,569,869x = 320,554,560 × 320,554,560
  4. Step 4: Simplify right side
    211,569,869x = 102,755,225,936,793,600
  5. Step 5: Solve for x
    x = 102,755,225,936,793,600/211,569,869
  6. Step 6: Final answer
    x = 485,679,867.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.