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Finding the Third Proportional to 210,298.78 and 456,090.75

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Solution

The third proportional to 210,298.78 and 456,090.75 is: 989,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,298.78 : 456,090.75 = 456,090.75 : x
  2. Step 2: Convert to fraction form
    210,298.78/456,090.75 = 456,090.75/x
  3. Step 3: Cross multiply
    210,298.78x = 456,090.75 × 456,090.75
  4. Step 4: Simplify right side
    210,298.78x = 208,018,772,235.56
  5. Step 5: Solve for x
    x = 208,018,772,235.56/210,298.78
  6. Step 6: Final answer
    x = 989,158.24

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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.