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Finding the Third Proportional to 655,319 and 989,000

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Solution

The third proportional to 655,319 and 989,000 is: 1,492,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,319 : 989,000 = 989,000 : x
  2. Step 2: Convert to fraction form
    655,319/989,000 = 989,000/x
  3. Step 3: Cross multiply
    655,319x = 989,000 × 989,000
  4. Step 4: Simplify right side
    655,319x = 978,121,000,000
  5. Step 5: Solve for x
    x = 978,121,000,000/655,319
  6. Step 6: Final answer
    x = 1,492,587.58

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