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Finding the Third Proportional to 508,533.75 and 787,916.25

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Solution

The third proportional to 508,533.75 and 787,916.25 is: 1,220,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,533.75 : 787,916.25 = 787,916.25 : x
  2. Step 2: Convert to fraction form
    508,533.75/787,916.25 = 787,916.25/x
  3. Step 3: Cross multiply
    508,533.75x = 787,916.25 × 787,916.25
  4. Step 4: Simplify right side
    508,533.75x = 620,812,017,014.06
  5. Step 5: Solve for x
    x = 620,812,017,014.06/508,533.75
  6. Step 6: Final answer
    x = 1,220,788.23

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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.