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Finding the Third Proportional to 210,303 and 456,102

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Solution

The third proportional to 210,303 and 456,102 is: 989,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,303 : 456,102 = 456,102 : x
  2. Step 2: Convert to fraction form
    210,303/456,102 = 456,102/x
  3. Step 3: Cross multiply
    210,303x = 456,102 × 456,102
  4. Step 4: Simplify right side
    210,303x = 208,029,034,404
  5. Step 5: Solve for x
    x = 208,029,034,404/210,303
  6. Step 6: Final answer
    x = 989,187.19

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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.