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Finding the Third Proportional to 242,394 and 520,770

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Solution

The third proportional to 242,394 and 520,770 is: 1,118,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,394 : 520,770 = 520,770 : x
  2. Step 2: Convert to fraction form
    242,394/520,770 = 520,770/x
  3. Step 3: Cross multiply
    242,394x = 520,770 × 520,770
  4. Step 4: Simplify right side
    242,394x = 271,201,392,900
  5. Step 5: Solve for x
    x = 271,201,392,900/242,394
  6. Step 6: Final answer
    x = 1,118,845.32

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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.