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Finding the Third Proportional to 543,348,330.75 and 847,307,476.13

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Solution

The third proportional to 543,348,330.75 and 847,307,476.13 is: 1,321,307,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,348,330.75 : 847,307,476.13 = 847,307,476.13 : x
  2. Step 2: Convert to fraction form
    543,348,330.75/847,307,476.13 = 847,307,476.13/x
  3. Step 3: Cross multiply
    543,348,330.75x = 847,307,476.13 × 847,307,476.13
  4. Step 4: Simplify right side
    543,348,330.75x = 717,929,959,097,317,504
  5. Step 5: Solve for x
    x = 717,929,959,097,317,504/543,348,330.75
  6. Step 6: Final answer
    x = 1,321,307,011.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.