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Finding the Third Proportional to 424,477.13 and 642,181.50

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Solution

The third proportional to 424,477.13 and 642,181.50 is: 971,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,477.13 : 642,181.50 = 642,181.50 : x
  2. Step 2: Convert to fraction form
    424,477.13/642,181.50 = 642,181.50/x
  3. Step 3: Cross multiply
    424,477.13x = 642,181.50 × 642,181.50
  4. Step 4: Simplify right side
    424,477.13x = 412,397,078,942.25
  5. Step 5: Solve for x
    x = 412,397,078,942.25/424,477.13
  6. Step 6: Final answer
    x = 971,541.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.