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Finding the Third Proportional to 357,075 and 473,890.50

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Solution

The third proportional to 357,075 and 473,890.50 is: 628,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,075 : 473,890.50 = 473,890.50 : x
  2. Step 2: Convert to fraction form
    357,075/473,890.50 = 473,890.50/x
  3. Step 3: Cross multiply
    357,075x = 473,890.50 × 473,890.50
  4. Step 4: Simplify right side
    357,075x = 224,572,205,990.25
  5. Step 5: Solve for x
    x = 224,572,205,990.25/357,075
  6. Step 6: Final answer
    x = 628,921.67

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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.