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Finding the Third Proportional to 392,011,072.88 and 853,153,732.13

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Solution

The third proportional to 392,011,072.88 and 853,153,732.13 is: 1,856,762,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,011,072.88 : 853,153,732.13 = 853,153,732.13 : x
  2. Step 2: Convert to fraction form
    392,011,072.88/853,153,732.13 = 853,153,732.13/x
  3. Step 3: Cross multiply
    392,011,072.88x = 853,153,732.13 × 853,153,732.13
  4. Step 4: Simplify right side
    392,011,072.88x = 727,871,290,638,816,256
  5. Step 5: Solve for x
    x = 727,871,290,638,816,256/392,011,072.88
  6. Step 6: Final answer
    x = 1,856,762,068.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.