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Finding the Third Proportional to 107,409 and 233,263.50

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Solution

The third proportional to 107,409 and 233,263.50 is: 506,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,409 : 233,263.50 = 233,263.50 : x
  2. Step 2: Convert to fraction form
    107,409/233,263.50 = 233,263.50/x
  3. Step 3: Cross multiply
    107,409x = 233,263.50 × 233,263.50
  4. Step 4: Simplify right side
    107,409x = 54,411,860,432.25
  5. Step 5: Solve for x
    x = 54,411,860,432.25/107,409
  6. Step 6: Final answer
    x = 506,585.67

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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.