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Finding the Third Proportional to 507,140 and 789,790.25

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Solution

The third proportional to 507,140 and 789,790.25 is: 1,229,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,140 : 789,790.25 = 789,790.25 : x
  2. Step 2: Convert to fraction form
    507,140/789,790.25 = 789,790.25/x
  3. Step 3: Cross multiply
    507,140x = 789,790.25 × 789,790.25
  4. Step 4: Simplify right side
    507,140x = 623,768,638,995.06
  5. Step 5: Solve for x
    x = 623,768,638,995.06/507,140
  6. Step 6: Final answer
    x = 1,229,973.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.