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Finding the Third Proportional to 256,688 and 395,056

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Solution

The third proportional to 256,688 and 395,056 is: 608,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,688 : 395,056 = 395,056 : x
  2. Step 2: Convert to fraction form
    256,688/395,056 = 395,056/x
  3. Step 3: Cross multiply
    256,688x = 395,056 × 395,056
  4. Step 4: Simplify right side
    256,688x = 156,069,243,136
  5. Step 5: Solve for x
    x = 156,069,243,136/256,688
  6. Step 6: Final answer
    x = 608,011.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.