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Finding the Third Proportional to 470,380 and 706,632

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Solution

The third proportional to 470,380 and 706,632 is: 1,061,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,380 : 706,632 = 706,632 : x
  2. Step 2: Convert to fraction form
    470,380/706,632 = 706,632/x
  3. Step 3: Cross multiply
    470,380x = 706,632 × 706,632
  4. Step 4: Simplify right side
    470,380x = 499,328,783,424
  5. Step 5: Solve for x
    x = 499,328,783,424/470,380
  6. Step 6: Final answer
    x = 1,061,543.40

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