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Finding the Third Proportional to 315,732 and 676,248

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Solution

The third proportional to 315,732 and 676,248 is: 1,448,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,732 : 676,248 = 676,248 : x
  2. Step 2: Convert to fraction form
    315,732/676,248 = 676,248/x
  3. Step 3: Cross multiply
    315,732x = 676,248 × 676,248
  4. Step 4: Simplify right side
    315,732x = 457,311,357,504
  5. Step 5: Solve for x
    x = 457,311,357,504/315,732
  6. Step 6: Final answer
    x = 1,448,416.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.