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Finding the Third Proportional to 400,162.50 and 610,407

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Solution

The third proportional to 400,162.50 and 610,407 is: 931,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,162.50 : 610,407 = 610,407 : x
  2. Step 2: Convert to fraction form
    400,162.50/610,407 = 610,407/x
  3. Step 3: Cross multiply
    400,162.50x = 610,407 × 610,407
  4. Step 4: Simplify right side
    400,162.50x = 372,596,705,649
  5. Step 5: Solve for x
    x = 372,596,705,649/400,162.50
  6. Step 6: Final answer
    x = 931,113.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.