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Finding the Third Proportional to 7,689,729 and 18,152,331

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Solution

The third proportional to 7,689,729 and 18,152,331 is: 42,850,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,729 : 18,152,331 = 18,152,331 : x
  2. Step 2: Convert to fraction form
    7,689,729/18,152,331 = 18,152,331/x
  3. Step 3: Cross multiply
    7,689,729x = 18,152,331 × 18,152,331
  4. Step 4: Simplify right side
    7,689,729x = 329,507,120,733,561
  5. Step 5: Solve for x
    x = 329,507,120,733,561/7,689,729
  6. Step 6: Final answer
    x = 42,850,290.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.