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Finding the Third Proportional to 492,428 and 739,128

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Solution

The third proportional to 492,428 and 739,128 is: 1,109,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,428 : 739,128 = 739,128 : x
  2. Step 2: Convert to fraction form
    492,428/739,128 = 739,128/x
  3. Step 3: Cross multiply
    492,428x = 739,128 × 739,128
  4. Step 4: Simplify right side
    492,428x = 546,310,200,384
  5. Step 5: Solve for x
    x = 546,310,200,384/492,428
  6. Step 6: Final answer
    x = 1,109,421.48

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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.