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Finding the Third Proportional to 217,136 and 335,547

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Solution

The third proportional to 217,136 and 335,547 is: 518,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,136 : 335,547 = 335,547 : x
  2. Step 2: Convert to fraction form
    217,136/335,547 = 335,547/x
  3. Step 3: Cross multiply
    217,136x = 335,547 × 335,547
  4. Step 4: Simplify right side
    217,136x = 112,591,789,209
  5. Step 5: Solve for x
    x = 112,591,789,209/217,136
  6. Step 6: Final answer
    x = 518,531.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.