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Finding the Third Proportional to 414,955 and 658,720.50

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Solution

The third proportional to 414,955 and 658,720.50 is: 1,045,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,955 : 658,720.50 = 658,720.50 : x
  2. Step 2: Convert to fraction form
    414,955/658,720.50 = 658,720.50/x
  3. Step 3: Cross multiply
    414,955x = 658,720.50 × 658,720.50
  4. Step 4: Simplify right side
    414,955x = 433,912,697,120.25
  5. Step 5: Solve for x
    x = 433,912,697,120.25/414,955
  6. Step 6: Final answer
    x = 1,045,686.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.