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Finding the Third Proportional to 492,804.38 and 720,497.63

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Solution

The third proportional to 492,804.38 and 720,497.63 is: 1,053,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,804.38 : 720,497.63 = 720,497.63 : x
  2. Step 2: Convert to fraction form
    492,804.38/720,497.63 = 720,497.63/x
  3. Step 3: Cross multiply
    492,804.38x = 720,497.63 × 720,497.63
  4. Step 4: Simplify right side
    492,804.38x = 519,116,827,630.64
  5. Step 5: Solve for x
    x = 519,116,827,630.64/492,804.38
  6. Step 6: Final answer
    x = 1,053,393.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.