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Finding the Third Proportional to 386,553 and 783,492

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Solution

The third proportional to 386,553 and 783,492 is: 1,588,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,553 : 783,492 = 783,492 : x
  2. Step 2: Convert to fraction form
    386,553/783,492 = 783,492/x
  3. Step 3: Cross multiply
    386,553x = 783,492 × 783,492
  4. Step 4: Simplify right side
    386,553x = 613,859,714,064
  5. Step 5: Solve for x
    x = 613,859,714,064/386,553
  6. Step 6: Final answer
    x = 1,588,035.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.