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Finding the Third Proportional to 415,749.50 and 459,489.50

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Solution

The third proportional to 415,749.50 and 459,489.50 is: 507,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,749.50 : 459,489.50 = 459,489.50 : x
  2. Step 2: Convert to fraction form
    415,749.50/459,489.50 = 459,489.50/x
  3. Step 3: Cross multiply
    415,749.50x = 459,489.50 × 459,489.50
  4. Step 4: Simplify right side
    415,749.50x = 211,130,600,610.25
  5. Step 5: Solve for x
    x = 211,130,600,610.25/415,749.50
  6. Step 6: Final answer
    x = 507,831.28

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.