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Finding the Third Proportional to 210,333 and 456,153

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Solution

The third proportional to 210,333 and 456,153 is: 989,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,333 : 456,153 = 456,153 : x
  2. Step 2: Convert to fraction form
    210,333/456,153 = 456,153/x
  3. Step 3: Cross multiply
    210,333x = 456,153 × 456,153
  4. Step 4: Simplify right side
    210,333x = 208,075,559,409
  5. Step 5: Solve for x
    x = 208,075,559,409/210,333
  6. Step 6: Final answer
    x = 989,267.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.