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Finding the Third Proportional to 318,303 and 692,586

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Solution

The third proportional to 318,303 and 692,586 is: 1,506,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,303 : 692,586 = 692,586 : x
  2. Step 2: Convert to fraction form
    318,303/692,586 = 692,586/x
  3. Step 3: Cross multiply
    318,303x = 692,586 × 692,586
  4. Step 4: Simplify right side
    318,303x = 479,675,367,396
  5. Step 5: Solve for x
    x = 479,675,367,396/318,303
  6. Step 6: Final answer
    x = 1,506,977.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.