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Finding the Third Proportional to 470,387 and 706,640

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Solution

The third proportional to 470,387 and 706,640 is: 1,061,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,387 : 706,640 = 706,640 : x
  2. Step 2: Convert to fraction form
    470,387/706,640 = 706,640/x
  3. Step 3: Cross multiply
    470,387x = 706,640 × 706,640
  4. Step 4: Simplify right side
    470,387x = 499,340,089,600
  5. Step 5: Solve for x
    x = 499,340,089,600/470,387
  6. Step 6: Final answer
    x = 1,061,551.64

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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.