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Finding the Third Proportional to 507,040 and 758,980.50

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Solution

The third proportional to 507,040 and 758,980.50 is: 1,136,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,040 : 758,980.50 = 758,980.50 : x
  2. Step 2: Convert to fraction form
    507,040/758,980.50 = 758,980.50/x
  3. Step 3: Cross multiply
    507,040x = 758,980.50 × 758,980.50
  4. Step 4: Simplify right side
    507,040x = 576,051,399,380.25
  5. Step 5: Solve for x
    x = 576,051,399,380.25/507,040
  6. Step 6: Final answer
    x = 1,136,106.42

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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.