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Finding the Third Proportional to 6,858,128 and 14,748,520

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Solution

The third proportional to 6,858,128 and 14,748,520 is: 31,716,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858,128 : 14,748,520 = 14,748,520 : x
  2. Step 2: Convert to fraction form
    6,858,128/14,748,520 = 14,748,520/x
  3. Step 3: Cross multiply
    6,858,128x = 14,748,520 × 14,748,520
  4. Step 4: Simplify right side
    6,858,128x = 217,518,842,190,400
  5. Step 5: Solve for x
    x = 217,518,842,190,400/6,858,128
  6. Step 6: Final answer
    x = 31,716,941.15

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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.