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Finding the Third Proportional to 318,420 and 470,340

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Solution

The third proportional to 318,420 and 470,340 is: 694,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,420 : 470,340 = 470,340 : x
  2. Step 2: Convert to fraction form
    318,420/470,340 = 470,340/x
  3. Step 3: Cross multiply
    318,420x = 470,340 × 470,340
  4. Step 4: Simplify right side
    318,420x = 221,219,715,600
  5. Step 5: Solve for x
    x = 221,219,715,600/318,420
  6. Step 6: Final answer
    x = 694,741.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.