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Finding the Third Proportional to 321,547.50 and 706,153.50

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Solution

The third proportional to 321,547.50 and 706,153.50 is: 1,550,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,547.50 : 706,153.50 = 706,153.50 : x
  2. Step 2: Convert to fraction form
    321,547.50/706,153.50 = 706,153.50/x
  3. Step 3: Cross multiply
    321,547.50x = 706,153.50 × 706,153.50
  4. Step 4: Simplify right side
    321,547.50x = 498,652,765,562.25
  5. Step 5: Solve for x
    x = 498,652,765,562.25/321,547.50
  6. Step 6: Final answer
    x = 1,550,790.37

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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.