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Finding the Third Proportional to 30,856,071 and 66,355,863

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Solution

The third proportional to 30,856,071 and 66,355,863 is: 142,698,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856,071 : 66,355,863 = 66,355,863 : x
  2. Step 2: Convert to fraction form
    30,856,071/66,355,863 = 66,355,863/x
  3. Step 3: Cross multiply
    30,856,071x = 66,355,863 × 66,355,863
  4. Step 4: Simplify right side
    30,856,071x = 4,403,100,554,474,769
  5. Step 5: Solve for x
    x = 4,403,100,554,474,769/30,856,071
  6. Step 6: Final answer
    x = 142,698,030.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.