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Finding the Third Proportional to 145,253.50 and 314,635

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Solution

The third proportional to 145,253.50 and 314,635 is: 681,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,253.50 : 314,635 = 314,635 : x
  2. Step 2: Convert to fraction form
    145,253.50/314,635 = 314,635/x
  3. Step 3: Cross multiply
    145,253.50x = 314,635 × 314,635
  4. Step 4: Simplify right side
    145,253.50x = 98,995,183,225
  5. Step 5: Solve for x
    x = 98,995,183,225/145,253.50
  6. Step 6: Final answer
    x = 681,533.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.