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Finding the Third Proportional to 292,492 and 638,516

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Solution

The third proportional to 292,492 and 638,516 is: 1,393,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,492 : 638,516 = 638,516 : x
  2. Step 2: Convert to fraction form
    292,492/638,516 = 638,516/x
  3. Step 3: Cross multiply
    292,492x = 638,516 × 638,516
  4. Step 4: Simplify right side
    292,492x = 407,702,682,256
  5. Step 5: Solve for x
    x = 407,702,682,256/292,492
  6. Step 6: Final answer
    x = 1,393,893.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.