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Finding the Third Proportional to 637,149,072 and 1,390,112,920

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Solution

The third proportional to 637,149,072 and 1,390,112,920 is: 3,032,907,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,149,072 : 1,390,112,920 = 1,390,112,920 : x
  2. Step 2: Convert to fraction form
    637,149,072/1,390,112,920 = 1,390,112,920/x
  3. Step 3: Cross multiply
    637,149,072x = 1,390,112,920 × 1,390,112,920
  4. Step 4: Simplify right side
    637,149,072x = 1,932,413,930,350,926,336
  5. Step 5: Solve for x
    x = 1,932,413,930,350,926,336/637,149,072
  6. Step 6: Final answer
    x = 3,032,907,078.22

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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.