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Finding the Third Proportional to 317,865 and 480,038.50

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Solution

The third proportional to 317,865 and 480,038.50 is: 724,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,865 : 480,038.50 = 480,038.50 : x
  2. Step 2: Convert to fraction form
    317,865/480,038.50 = 480,038.50/x
  3. Step 3: Cross multiply
    317,865x = 480,038.50 × 480,038.50
  4. Step 4: Simplify right side
    317,865x = 230,436,961,482.25
  5. Step 5: Solve for x
    x = 230,436,961,482.25/317,865
  6. Step 6: Final answer
    x = 724,952.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.