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Finding the Third Proportional to 242,210 and 521,437

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Solution

The third proportional to 242,210 and 521,437 is: 1,122,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,210 : 521,437 = 521,437 : x
  2. Step 2: Convert to fraction form
    242,210/521,437 = 521,437/x
  3. Step 3: Cross multiply
    242,210x = 521,437 × 521,437
  4. Step 4: Simplify right side
    242,210x = 271,896,544,969
  5. Step 5: Solve for x
    x = 271,896,544,969/242,210
  6. Step 6: Final answer
    x = 1,122,565.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.