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Finding the Third Proportional to 787,101 and 1,215,435

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Solution

The third proportional to 787,101 and 1,215,435 is: 1,876,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,101 : 1,215,435 = 1,215,435 : x
  2. Step 2: Convert to fraction form
    787,101/1,215,435 = 1,215,435/x
  3. Step 3: Cross multiply
    787,101x = 1,215,435 × 1,215,435
  4. Step 4: Simplify right side
    787,101x = 1,477,282,239,225
  5. Step 5: Solve for x
    x = 1,477,282,239,225/787,101
  6. Step 6: Final answer
    x = 1,876,864.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.