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Finding the Third Proportional to 420,136 and 630,513

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Solution

The third proportional to 420,136 and 630,513 is: 946,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,136 : 630,513 = 630,513 : x
  2. Step 2: Convert to fraction form
    420,136/630,513 = 630,513/x
  3. Step 3: Cross multiply
    420,136x = 630,513 × 630,513
  4. Step 4: Simplify right side
    420,136x = 397,546,643,169
  5. Step 5: Solve for x
    x = 397,546,643,169/420,136
  6. Step 6: Final answer
    x = 946,233.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.