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Finding the Third Proportional to 256,153.50 and 370,068.75

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Solution

The third proportional to 256,153.50 and 370,068.75 is: 534,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,153.50 : 370,068.75 = 370,068.75 : x
  2. Step 2: Convert to fraction form
    256,153.50/370,068.75 = 370,068.75/x
  3. Step 3: Cross multiply
    256,153.50x = 370,068.75 × 370,068.75
  4. Step 4: Simplify right side
    256,153.50x = 136,950,879,726.56
  5. Step 5: Solve for x
    x = 136,950,879,726.56/256,153.50
  6. Step 6: Final answer
    x = 534,643.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.