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Finding the Third Proportional to 317,457 and 423,211.50

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Solution

The third proportional to 317,457 and 423,211.50 is: 564,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,457 : 423,211.50 = 423,211.50 : x
  2. Step 2: Convert to fraction form
    317,457/423,211.50 = 423,211.50/x
  3. Step 3: Cross multiply
    317,457x = 423,211.50 × 423,211.50
  4. Step 4: Simplify right side
    317,457x = 179,107,973,732.25
  5. Step 5: Solve for x
    x = 179,107,973,732.25/317,457
  6. Step 6: Final answer
    x = 564,196.01

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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.