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Finding the Third Proportional to 429,056 and 642,752

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Solution

The third proportional to 429,056 and 642,752 is: 962,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,056 : 642,752 = 642,752 : x
  2. Step 2: Convert to fraction form
    429,056/642,752 = 642,752/x
  3. Step 3: Cross multiply
    429,056x = 642,752 × 642,752
  4. Step 4: Simplify right side
    429,056x = 413,130,133,504
  5. Step 5: Solve for x
    x = 413,130,133,504/429,056
  6. Step 6: Final answer
    x = 962,881.61

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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.