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Finding the Third Proportional to 429,044 and 643,370

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Solution

The third proportional to 429,044 and 643,370 is: 964,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,044 : 643,370 = 643,370 : x
  2. Step 2: Convert to fraction form
    429,044/643,370 = 643,370/x
  3. Step 3: Cross multiply
    429,044x = 643,370 × 643,370
  4. Step 4: Simplify right side
    429,044x = 413,924,956,900
  5. Step 5: Solve for x
    x = 413,924,956,900/429,044
  6. Step 6: Final answer
    x = 964,761.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.