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Finding the Third Proportional to 6,430,120 and 13,869,808

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Solution

The third proportional to 6,430,120 and 13,869,808 is: 29,917,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,120 : 13,869,808 = 13,869,808 : x
  2. Step 2: Convert to fraction form
    6,430,120/13,869,808 = 13,869,808/x
  3. Step 3: Cross multiply
    6,430,120x = 13,869,808 × 13,869,808
  4. Step 4: Simplify right side
    6,430,120x = 192,371,573,956,864
  5. Step 5: Solve for x
    x = 192,371,573,956,864/6,430,120
  6. Step 6: Final answer
    x = 29,917,260.32

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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.