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Finding the Third Proportional to 288,818 and 633,430

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Solution

The third proportional to 288,818 and 633,430 is: 1,389,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,818 : 633,430 = 633,430 : x
  2. Step 2: Convert to fraction form
    288,818/633,430 = 633,430/x
  3. Step 3: Cross multiply
    288,818x = 633,430 × 633,430
  4. Step 4: Simplify right side
    288,818x = 401,233,564,900
  5. Step 5: Solve for x
    x = 401,233,564,900/288,818
  6. Step 6: Final answer
    x = 1,389,226.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.