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Finding the Third Proportional to 243,360 and 565,392

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Solution

The third proportional to 243,360 and 565,392 is: 1,313,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,360 : 565,392 = 565,392 : x
  2. Step 2: Convert to fraction form
    243,360/565,392 = 565,392/x
  3. Step 3: Cross multiply
    243,360x = 565,392 × 565,392
  4. Step 4: Simplify right side
    243,360x = 319,668,113,664
  5. Step 5: Solve for x
    x = 319,668,113,664/243,360
  6. Step 6: Final answer
    x = 1,313,560.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.