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Finding the Third Proportional to 12,142,509 and 18,462,399

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Solution

The third proportional to 12,142,509 and 18,462,399 is: 28,071,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,509 : 18,462,399 = 18,462,399 : x
  2. Step 2: Convert to fraction form
    12,142,509/18,462,399 = 18,462,399/x
  3. Step 3: Cross multiply
    12,142,509x = 18,462,399 × 18,462,399
  4. Step 4: Simplify right side
    12,142,509x = 340,860,176,835,201
  5. Step 5: Solve for x
    x = 340,860,176,835,201/12,142,509
  6. Step 6: Final answer
    x = 28,071,642.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.