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Finding the Third Proportional to 308,164 and 432,690

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Solution

The third proportional to 308,164 and 432,690 is: 607,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,164 : 432,690 = 432,690 : x
  2. Step 2: Convert to fraction form
    308,164/432,690 = 432,690/x
  3. Step 3: Cross multiply
    308,164x = 432,690 × 432,690
  4. Step 4: Simplify right side
    308,164x = 187,220,636,100
  5. Step 5: Solve for x
    x = 187,220,636,100/308,164
  6. Step 6: Final answer
    x = 607,535.72

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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.