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Finding the Third Proportional to 318,457.50 and 497,065.50

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Solution

The third proportional to 318,457.50 and 497,065.50 is: 775,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,457.50 : 497,065.50 = 497,065.50 : x
  2. Step 2: Convert to fraction form
    318,457.50/497,065.50 = 497,065.50/x
  3. Step 3: Cross multiply
    318,457.50x = 497,065.50 × 497,065.50
  4. Step 4: Simplify right side
    318,457.50x = 247,074,111,290.25
  5. Step 5: Solve for x
    x = 247,074,111,290.25/318,457.50
  6. Step 6: Final answer
    x = 775,846.42

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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.