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Finding the Third Proportional to 148,726.88 and 289,981.50

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Solution

The third proportional to 148,726.88 and 289,981.50 is: 565,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,726.88 : 289,981.50 = 289,981.50 : x
  2. Step 2: Convert to fraction form
    148,726.88/289,981.50 = 289,981.50/x
  3. Step 3: Cross multiply
    148,726.88x = 289,981.50 × 289,981.50
  4. Step 4: Simplify right side
    148,726.88x = 84,089,270,342.25
  5. Step 5: Solve for x
    x = 84,089,270,342.25/148,726.88
  6. Step 6: Final answer
    x = 565,393.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.