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Finding the Third Proportional to 652,996.75 and 989,371

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Solution

The third proportional to 652,996.75 and 989,371 is: 1,499,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,996.75 : 989,371 = 989,371 : x
  2. Step 2: Convert to fraction form
    652,996.75/989,371 = 989,371/x
  3. Step 3: Cross multiply
    652,996.75x = 989,371 × 989,371
  4. Step 4: Simplify right side
    652,996.75x = 978,854,975,641
  5. Step 5: Solve for x
    x = 978,854,975,641/652,996.75
  6. Step 6: Final answer
    x = 1,499,019.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.