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Finding the Third Proportional to 329,482,256 and 722,265,040

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Solution

The third proportional to 329,482,256 and 722,265,040 is: 1,583,292,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,482,256 : 722,265,040 = 722,265,040 : x
  2. Step 2: Convert to fraction form
    329,482,256/722,265,040 = 722,265,040/x
  3. Step 3: Cross multiply
    329,482,256x = 722,265,040 × 722,265,040
  4. Step 4: Simplify right side
    329,482,256x = 521,666,788,006,201,600
  5. Step 5: Solve for x
    x = 521,666,788,006,201,600/329,482,256
  6. Step 6: Final answer
    x = 1,583,292,509.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.