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Finding the Third Proportional to 243,504 and 528,480

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Solution

The third proportional to 243,504 and 528,480 is: 1,146,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,504 : 528,480 = 528,480 : x
  2. Step 2: Convert to fraction form
    243,504/528,480 = 528,480/x
  3. Step 3: Cross multiply
    243,504x = 528,480 × 528,480
  4. Step 4: Simplify right side
    243,504x = 279,291,110,400
  5. Step 5: Solve for x
    x = 279,291,110,400/243,504
  6. Step 6: Final answer
    x = 1,146,967.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.