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Finding the Third Proportional to 72,136 and 157,547

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Solution

The third proportional to 72,136 and 157,547 is: 344,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,136 : 157,547 = 157,547 : x
  2. Step 2: Convert to fraction form
    72,136/157,547 = 157,547/x
  3. Step 3: Cross multiply
    72,136x = 157,547 × 157,547
  4. Step 4: Simplify right side
    72,136x = 24,821,057,209
  5. Step 5: Solve for x
    x = 24,821,057,209/72,136
  6. Step 6: Final answer
    x = 344,086.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.