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Finding the Third Proportional to 329,640 and 711,840

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Solution

The third proportional to 329,640 and 711,840 is: 1,537,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,640 : 711,840 = 711,840 : x
  2. Step 2: Convert to fraction form
    329,640/711,840 = 711,840/x
  3. Step 3: Cross multiply
    329,640x = 711,840 × 711,840
  4. Step 4: Simplify right side
    329,640x = 506,716,185,600
  5. Step 5: Solve for x
    x = 506,716,185,600/329,640
  6. Step 6: Final answer
    x = 1,537,180.52

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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.