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Finding the Third Proportional to 456,344.50 and 709,405.50

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Solution

The third proportional to 456,344.50 and 709,405.50 is: 1,102,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,344.50 : 709,405.50 = 709,405.50 : x
  2. Step 2: Convert to fraction form
    456,344.50/709,405.50 = 709,405.50/x
  3. Step 3: Cross multiply
    456,344.50x = 709,405.50 × 709,405.50
  4. Step 4: Simplify right side
    456,344.50x = 503,256,163,430.25
  5. Step 5: Solve for x
    x = 503,256,163,430.25/456,344.50
  6. Step 6: Final answer
    x = 1,102,798.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.