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Finding the Third Proportional to 6,430,127 and 13,869,861

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Solution

The third proportional to 6,430,127 and 13,869,861 is: 29,917,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,127 : 13,869,861 = 13,869,861 : x
  2. Step 2: Convert to fraction form
    6,430,127/13,869,861 = 13,869,861/x
  3. Step 3: Cross multiply
    6,430,127x = 13,869,861 × 13,869,861
  4. Step 4: Simplify right side
    6,430,127x = 192,373,044,159,321
  5. Step 5: Solve for x
    x = 192,373,044,159,321/6,430,127
  6. Step 6: Final answer
    x = 29,917,456.40

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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.