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Finding the Third Proportional to 702,998 and 1,089,453

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Solution

The third proportional to 702,998 and 1,089,453 is: 1,688,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,998 : 1,089,453 = 1,089,453 : x
  2. Step 2: Convert to fraction form
    702,998/1,089,453 = 1,089,453/x
  3. Step 3: Cross multiply
    702,998x = 1,089,453 × 1,089,453
  4. Step 4: Simplify right side
    702,998x = 1,186,907,839,209
  5. Step 5: Solve for x
    x = 1,186,907,839,209/702,998
  6. Step 6: Final answer
    x = 1,688,351.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.