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Finding the Third Proportional to 7,766,209 and 12,156,347

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Solution

The third proportional to 7,766,209 and 12,156,347 is: 19,028,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,209 : 12,156,347 = 12,156,347 : x
  2. Step 2: Convert to fraction form
    7,766,209/12,156,347 = 12,156,347/x
  3. Step 3: Cross multiply
    7,766,209x = 12,156,347 × 12,156,347
  4. Step 4: Simplify right side
    7,766,209x = 147,776,772,384,409
  5. Step 5: Solve for x
    x = 147,776,772,384,409/7,766,209
  6. Step 6: Final answer
    x = 19,028,173.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.