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Finding the Third Proportional to 308,176 and 432,708

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Solution

The third proportional to 308,176 and 432,708 is: 607,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,176 : 432,708 = 432,708 : x
  2. Step 2: Convert to fraction form
    308,176/432,708 = 432,708/x
  3. Step 3: Cross multiply
    308,176x = 432,708 × 432,708
  4. Step 4: Simplify right side
    308,176x = 187,236,213,264
  5. Step 5: Solve for x
    x = 187,236,213,264/308,176
  6. Step 6: Final answer
    x = 607,562.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.