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Finding the Third Proportional to 243,365 and 520,360

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Solution

The third proportional to 243,365 and 520,360 is: 1,112,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,365 : 520,360 = 520,360 : x
  2. Step 2: Convert to fraction form
    243,365/520,360 = 520,360/x
  3. Step 3: Cross multiply
    243,365x = 520,360 × 520,360
  4. Step 4: Simplify right side
    243,365x = 270,774,529,600
  5. Step 5: Solve for x
    x = 270,774,529,600/243,365
  6. Step 6: Final answer
    x = 1,112,627.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.