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Finding the Third Proportional to 288,447.75 and 631,273.50

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Solution

The third proportional to 288,447.75 and 631,273.50 is: 1,381,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,447.75 : 631,273.50 = 631,273.50 : x
  2. Step 2: Convert to fraction form
    288,447.75/631,273.50 = 631,273.50/x
  3. Step 3: Cross multiply
    288,447.75x = 631,273.50 × 631,273.50
  4. Step 4: Simplify right side
    288,447.75x = 398,506,231,802.25
  5. Step 5: Solve for x
    x = 398,506,231,802.25/288,447.75
  6. Step 6: Final answer
    x = 1,381,554.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.