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Finding the Third Proportional to 210,319 and 461,421

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Solution

The third proportional to 210,319 and 461,421 is: 1,012,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,319 : 461,421 = 461,421 : x
  2. Step 2: Convert to fraction form
    210,319/461,421 = 461,421/x
  3. Step 3: Cross multiply
    210,319x = 461,421 × 461,421
  4. Step 4: Simplify right side
    210,319x = 212,909,339,241
  5. Step 5: Solve for x
    x = 212,909,339,241/210,319
  6. Step 6: Final answer
    x = 1,012,316.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.