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Finding the Third Proportional to 470,247 and 705,381

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Solution

The third proportional to 470,247 and 705,381 is: 1,058,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,247 : 705,381 = 705,381 : x
  2. Step 2: Convert to fraction form
    470,247/705,381 = 705,381/x
  3. Step 3: Cross multiply
    470,247x = 705,381 × 705,381
  4. Step 4: Simplify right side
    470,247x = 497,562,355,161
  5. Step 5: Solve for x
    x = 497,562,355,161/470,247
  6. Step 6: Final answer
    x = 1,058,087.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.