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Finding the Third Proportional to 294,699 and 450,507

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Solution

The third proportional to 294,699 and 450,507 is: 688,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,699 : 450,507 = 450,507 : x
  2. Step 2: Convert to fraction form
    294,699/450,507 = 450,507/x
  3. Step 3: Cross multiply
    294,699x = 450,507 × 450,507
  4. Step 4: Simplify right side
    294,699x = 202,956,557,049
  5. Step 5: Solve for x
    x = 202,956,557,049/294,699
  6. Step 6: Final answer
    x = 688,691.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.