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Finding the Third Proportional to 245,664 and 520,853

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Solution

The third proportional to 245,664 and 520,853 is: 1,104,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,664 : 520,853 = 520,853 : x
  2. Step 2: Convert to fraction form
    245,664/520,853 = 520,853/x
  3. Step 3: Cross multiply
    245,664x = 520,853 × 520,853
  4. Step 4: Simplify right side
    245,664x = 271,287,847,609
  5. Step 5: Solve for x
    x = 271,287,847,609/245,664
  6. Step 6: Final answer
    x = 1,104,304.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.