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Finding the Third Proportional to 190,428 and 279,749.25

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Solution

The third proportional to 190,428 and 279,749.25 is: 410,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,428 : 279,749.25 = 279,749.25 : x
  2. Step 2: Convert to fraction form
    190,428/279,749.25 = 279,749.25/x
  3. Step 3: Cross multiply
    190,428x = 279,749.25 × 279,749.25
  4. Step 4: Simplify right side
    190,428x = 78,259,642,875.56
  5. Step 5: Solve for x
    x = 78,259,642,875.56/190,428
  6. Step 6: Final answer
    x = 410,967.10

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Why These Related Problems?

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