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Finding the Third Proportional to 329,688 and 711,936

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Solution

The third proportional to 329,688 and 711,936 is: 1,537,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,688 : 711,936 = 711,936 : x
  2. Step 2: Convert to fraction form
    329,688/711,936 = 711,936/x
  3. Step 3: Cross multiply
    329,688x = 711,936 × 711,936
  4. Step 4: Simplify right side
    329,688x = 506,852,868,096
  5. Step 5: Solve for x
    x = 506,852,868,096/329,688
  6. Step 6: Final answer
    x = 1,537,371.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.