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Finding the Third Proportional to 321,457.50 and 706,376.25

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Solution

The third proportional to 321,457.50 and 706,376.25 is: 1,552,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,457.50 : 706,376.25 = 706,376.25 : x
  2. Step 2: Convert to fraction form
    321,457.50/706,376.25 = 706,376.25/x
  3. Step 3: Cross multiply
    321,457.50x = 706,376.25 × 706,376.25
  4. Step 4: Simplify right side
    321,457.50x = 498,967,406,564.06
  5. Step 5: Solve for x
    x = 498,967,406,564.06/321,457.50
  6. Step 6: Final answer
    x = 1,552,203.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.