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Finding the Third Proportional to 312,847,839 and 473,297,539.50

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Solution

The third proportional to 312,847,839 and 473,297,539.50 is: 716,036,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,847,839 : 473,297,539.50 = 473,297,539.50 : x
  2. Step 2: Convert to fraction form
    312,847,839/473,297,539.50 = 473,297,539.50/x
  3. Step 3: Cross multiply
    312,847,839x = 473,297,539.50 × 473,297,539.50
  4. Step 4: Simplify right side
    312,847,839x = 224,010,560,896,754,048
  5. Step 5: Solve for x
    x = 224,010,560,896,754,048/312,847,839
  6. Step 6: Final answer
    x = 716,036,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.