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Finding the Third Proportional to 321,021 and 695,541

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Solution

The third proportional to 321,021 and 695,541 is: 1,506,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,021 : 695,541 = 695,541 : x
  2. Step 2: Convert to fraction form
    321,021/695,541 = 695,541/x
  3. Step 3: Cross multiply
    321,021x = 695,541 × 695,541
  4. Step 4: Simplify right side
    321,021x = 483,777,282,681
  5. Step 5: Solve for x
    x = 483,777,282,681/321,021
  6. Step 6: Final answer
    x = 1,506,995.75

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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.