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Finding the Third Proportional to 315,699 and 692,518

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Solution

The third proportional to 315,699 and 692,518 is: 1,519,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,699 : 692,518 = 692,518 : x
  2. Step 2: Convert to fraction form
    315,699/692,518 = 692,518/x
  3. Step 3: Cross multiply
    315,699x = 692,518 × 692,518
  4. Step 4: Simplify right side
    315,699x = 479,581,180,324
  5. Step 5: Solve for x
    x = 479,581,180,324/315,699
  6. Step 6: Final answer
    x = 1,519,108.96

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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.