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Finding the Third Proportional to 492,195 and 724,468.50

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Solution

The third proportional to 492,195 and 724,468.50 is: 1,066,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,195 : 724,468.50 = 724,468.50 : x
  2. Step 2: Convert to fraction form
    492,195/724,468.50 = 724,468.50/x
  3. Step 3: Cross multiply
    492,195x = 724,468.50 × 724,468.50
  4. Step 4: Simplify right side
    492,195x = 524,854,607,492.25
  5. Step 5: Solve for x
    x = 524,854,607,492.25/492,195
  6. Step 6: Final answer
    x = 1,066,355.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.