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Finding the Third Proportional to 7,820,438 and 16,355,920

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Solution

The third proportional to 7,820,438 and 16,355,920 is: 34,207,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820,438 : 16,355,920 = 16,355,920 : x
  2. Step 2: Convert to fraction form
    7,820,438/16,355,920 = 16,355,920/x
  3. Step 3: Cross multiply
    7,820,438x = 16,355,920 × 16,355,920
  4. Step 4: Simplify right side
    7,820,438x = 267,516,119,046,400
  5. Step 5: Solve for x
    x = 267,516,119,046,400/7,820,438
  6. Step 6: Final answer
    x = 34,207,306.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.