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Finding the Third Proportional to 655,428 and 989,149.50

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Solution

The third proportional to 655,428 and 989,149.50 is: 1,492,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,428 : 989,149.50 = 989,149.50 : x
  2. Step 2: Convert to fraction form
    655,428/989,149.50 = 989,149.50/x
  3. Step 3: Cross multiply
    655,428x = 989,149.50 × 989,149.50
  4. Step 4: Simplify right side
    655,428x = 978,416,733,350.25
  5. Step 5: Solve for x
    x = 978,416,733,350.25/655,428
  6. Step 6: Final answer
    x = 1,492,790.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.