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Finding the Third Proportional to 262,459.50 and 407,176.50

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Solution

The third proportional to 262,459.50 and 407,176.50 is: 631,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,459.50 : 407,176.50 = 407,176.50 : x
  2. Step 2: Convert to fraction form
    262,459.50/407,176.50 = 407,176.50/x
  3. Step 3: Cross multiply
    262,459.50x = 407,176.50 × 407,176.50
  4. Step 4: Simplify right side
    262,459.50x = 165,792,702,152.25
  5. Step 5: Solve for x
    x = 165,792,702,152.25/262,459.50
  6. Step 6: Final answer
    x = 631,688.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.