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Finding the Third Proportional to 430,310 and 663,609

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Solution

The third proportional to 430,310 and 663,609 is: 1,023,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,310 : 663,609 = 663,609 : x
  2. Step 2: Convert to fraction form
    430,310/663,609 = 663,609/x
  3. Step 3: Cross multiply
    430,310x = 663,609 × 663,609
  4. Step 4: Simplify right side
    430,310x = 440,376,904,881
  5. Step 5: Solve for x
    x = 440,376,904,881/430,310
  6. Step 6: Final answer
    x = 1,023,394.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.