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Finding the Third Proportional to 342,136 and 531,056

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Solution

The third proportional to 342,136 and 531,056 is: 824,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,136 : 531,056 = 531,056 : x
  2. Step 2: Convert to fraction form
    342,136/531,056 = 531,056/x
  3. Step 3: Cross multiply
    342,136x = 531,056 × 531,056
  4. Step 4: Simplify right side
    342,136x = 282,020,475,136
  5. Step 5: Solve for x
    x = 282,020,475,136/342,136
  6. Step 6: Final answer
    x = 824,293.48

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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.