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Finding the Third Proportional to 30,658,856 and 66,760,912

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Solution

The third proportional to 30,658,856 and 66,760,912 is: 145,374,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658,856 : 66,760,912 = 66,760,912 : x
  2. Step 2: Convert to fraction form
    30,658,856/66,760,912 = 66,760,912/x
  3. Step 3: Cross multiply
    30,658,856x = 66,760,912 × 66,760,912
  4. Step 4: Simplify right side
    30,658,856x = 4,457,019,371,071,744
  5. Step 5: Solve for x
    x = 4,457,019,371,071,744/30,658,856
  6. Step 6: Final answer
    x = 145,374,614.47

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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.