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Finding the Third Proportional to 6,430,142 and 13,869,856

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Solution

The third proportional to 6,430,142 and 13,869,856 is: 29,917,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,142 : 13,869,856 = 13,869,856 : x
  2. Step 2: Convert to fraction form
    6,430,142/13,869,856 = 13,869,856/x
  3. Step 3: Cross multiply
    6,430,142x = 13,869,856 × 13,869,856
  4. Step 4: Simplify right side
    6,430,142x = 192,372,905,460,736
  5. Step 5: Solve for x
    x = 192,372,905,460,736/6,430,142
  6. Step 6: Final answer
    x = 29,917,365.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.