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Finding the Third Proportional to 7,669,363 and 12,209,385

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Solution

The third proportional to 7,669,363 and 12,209,385 is: 19,436,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,363 : 12,209,385 = 12,209,385 : x
  2. Step 2: Convert to fraction form
    7,669,363/12,209,385 = 12,209,385/x
  3. Step 3: Cross multiply
    7,669,363x = 12,209,385 × 12,209,385
  4. Step 4: Simplify right side
    7,669,363x = 149,069,082,078,225
  5. Step 5: Solve for x
    x = 149,069,082,078,225/7,669,363
  6. Step 6: Final answer
    x = 19,436,957.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.