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Finding the Third Proportional to 210,375 and 456,417

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Solution

The third proportional to 210,375 and 456,417 is: 990,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,375 : 456,417 = 456,417 : x
  2. Step 2: Convert to fraction form
    210,375/456,417 = 456,417/x
  3. Step 3: Cross multiply
    210,375x = 456,417 × 456,417
  4. Step 4: Simplify right side
    210,375x = 208,316,477,889
  5. Step 5: Solve for x
    x = 208,316,477,889/210,375
  6. Step 6: Final answer
    x = 990,214.99

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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.