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Finding the Third Proportional to 289,783.50 and 631,053

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Solution

The third proportional to 289,783.50 and 631,053 is: 1,374,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.50 : 631,053 = 631,053 : x
  2. Step 2: Convert to fraction form
    289,783.50/631,053 = 631,053/x
  3. Step 3: Cross multiply
    289,783.50x = 631,053 × 631,053
  4. Step 4: Simplify right side
    289,783.50x = 398,227,888,809
  5. Step 5: Solve for x
    x = 398,227,888,809/289,783.50
  6. Step 6: Final answer
    x = 1,374,225.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.