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Finding the Third Proportional to 8,402,128 and 18,438,080

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Solution

The third proportional to 8,402,128 and 18,438,080 is: 40,461,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402,128 : 18,438,080 = 18,438,080 : x
  2. Step 2: Convert to fraction form
    8,402,128/18,438,080 = 18,438,080/x
  3. Step 3: Cross multiply
    8,402,128x = 18,438,080 × 18,438,080
  4. Step 4: Simplify right side
    8,402,128x = 339,962,794,086,400
  5. Step 5: Solve for x
    x = 339,962,794,086,400/8,402,128
  6. Step 6: Final answer
    x = 40,461,510.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.