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Finding the Third Proportional to 489,782.46 and 756,509.38

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Solution

The third proportional to 489,782.46 and 756,509.38 is: 1,168,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,782.46 : 756,509.38 = 756,509.38 : x
  2. Step 2: Convert to fraction form
    489,782.46/756,509.38 = 756,509.38/x
  3. Step 3: Cross multiply
    489,782.46x = 756,509.38 × 756,509.38
  4. Step 4: Simplify right side
    489,782.46x = 572,306,440,373.12
  5. Step 5: Solve for x
    x = 572,306,440,373.12/489,782.46
  6. Step 6: Final answer
    x = 1,168,491.09

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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.