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Finding the Third Proportional to 242,510 and 528,446

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Solution

The third proportional to 242,510 and 528,446 is: 1,151,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,510 : 528,446 = 528,446 : x
  2. Step 2: Convert to fraction form
    242,510/528,446 = 528,446/x
  3. Step 3: Cross multiply
    242,510x = 528,446 × 528,446
  4. Step 4: Simplify right side
    242,510x = 279,255,174,916
  5. Step 5: Solve for x
    x = 279,255,174,916/242,510
  6. Step 6: Final answer
    x = 1,151,520.25

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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.