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Finding the Third Proportional to 491,368 and 720,936

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Solution

The third proportional to 491,368 and 720,936 is: 1,057,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,368 : 720,936 = 720,936 : x
  2. Step 2: Convert to fraction form
    491,368/720,936 = 720,936/x
  3. Step 3: Cross multiply
    491,368x = 720,936 × 720,936
  4. Step 4: Simplify right side
    491,368x = 519,748,716,096
  5. Step 5: Solve for x
    x = 519,748,716,096/491,368
  6. Step 6: Final answer
    x = 1,057,758.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.