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Finding the Third Proportional to 501,336 and 756,256.50

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Solution

The third proportional to 501,336 and 756,256.50 is: 1,140,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,336 : 756,256.50 = 756,256.50 : x
  2. Step 2: Convert to fraction form
    501,336/756,256.50 = 756,256.50/x
  3. Step 3: Cross multiply
    501,336x = 756,256.50 × 756,256.50
  4. Step 4: Simplify right side
    501,336x = 571,923,893,792.25
  5. Step 5: Solve for x
    x = 571,923,893,792.25/501,336
  6. Step 6: Final answer
    x = 1,140,799.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.