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Finding the Third Proportional to 382,080 and 783,312

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Solution

The third proportional to 382,080 and 783,312 is: 1,605,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,080 : 783,312 = 783,312 : x
  2. Step 2: Convert to fraction form
    382,080/783,312 = 783,312/x
  3. Step 3: Cross multiply
    382,080x = 783,312 × 783,312
  4. Step 4: Simplify right side
    382,080x = 613,577,689,344
  5. Step 5: Solve for x
    x = 613,577,689,344/382,080
  6. Step 6: Final answer
    x = 1,605,888.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.