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Finding the Third Proportional to 458,140 and 699,054

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Solution

The third proportional to 458,140 and 699,054 is: 1,066,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,140 : 699,054 = 699,054 : x
  2. Step 2: Convert to fraction form
    458,140/699,054 = 699,054/x
  3. Step 3: Cross multiply
    458,140x = 699,054 × 699,054
  4. Step 4: Simplify right side
    458,140x = 488,676,494,916
  5. Step 5: Solve for x
    x = 488,676,494,916/458,140
  6. Step 6: Final answer
    x = 1,066,653.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.