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Finding the Third Proportional to 489,782.75 and 756,509.88

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Solution

The third proportional to 489,782.75 and 756,509.88 is: 1,168,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,782.75 : 756,509.88 = 756,509.88 : x
  2. Step 2: Convert to fraction form
    489,782.75/756,509.88 = 756,509.88/x
  3. Step 3: Cross multiply
    489,782.75x = 756,509.88 × 756,509.88
  4. Step 4: Simplify right side
    489,782.75x = 572,307,190,972.52
  5. Step 5: Solve for x
    x = 572,307,190,972.52/489,782.75
  6. Step 6: Final answer
    x = 1,168,491.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.