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Finding the Third Proportional to 210,075 and 314,379

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Solution

The third proportional to 210,075 and 314,379 is: 470,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,075 : 314,379 = 314,379 : x
  2. Step 2: Convert to fraction form
    210,075/314,379 = 314,379/x
  3. Step 3: Cross multiply
    210,075x = 314,379 × 314,379
  4. Step 4: Simplify right side
    210,075x = 98,834,155,641
  5. Step 5: Solve for x
    x = 98,834,155,641/210,075
  6. Step 6: Final answer
    x = 470,470.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.