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Finding the Third Proportional to 290,672 and 640,024

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Solution

The third proportional to 290,672 and 640,024 is: 1,409,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,672 : 640,024 = 640,024 : x
  2. Step 2: Convert to fraction form
    290,672/640,024 = 640,024/x
  3. Step 3: Cross multiply
    290,672x = 640,024 × 640,024
  4. Step 4: Simplify right side
    290,672x = 409,630,720,576
  5. Step 5: Solve for x
    x = 409,630,720,576/290,672
  6. Step 6: Final answer
    x = 1,409,254.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.