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Finding the Third Proportional to 315,526 and 692,288

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Solution

The third proportional to 315,526 and 692,288 is: 1,518,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,526 : 692,288 = 692,288 : x
  2. Step 2: Convert to fraction form
    315,526/692,288 = 692,288/x
  3. Step 3: Cross multiply
    315,526x = 692,288 × 692,288
  4. Step 4: Simplify right side
    315,526x = 479,262,674,944
  5. Step 5: Solve for x
    x = 479,262,674,944/315,526
  6. Step 6: Final answer
    x = 1,518,932.43

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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.