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Finding the Third Proportional to 508,321.50 and 677,683.50

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Solution

The third proportional to 508,321.50 and 677,683.50 is: 903,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,321.50 : 677,683.50 = 677,683.50 : x
  2. Step 2: Convert to fraction form
    508,321.50/677,683.50 = 677,683.50/x
  3. Step 3: Cross multiply
    508,321.50x = 677,683.50 × 677,683.50
  4. Step 4: Simplify right side
    508,321.50x = 459,254,926,172.25
  5. Step 5: Solve for x
    x = 459,254,926,172.25/508,321.50
  6. Step 6: Final answer
    x = 903,473.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.