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Finding the Third Proportional to 144,108 and 314,972.50

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Solution

The third proportional to 144,108 and 314,972.50 is: 688,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,108 : 314,972.50 = 314,972.50 : x
  2. Step 2: Convert to fraction form
    144,108/314,972.50 = 314,972.50/x
  3. Step 3: Cross multiply
    144,108x = 314,972.50 × 314,972.50
  4. Step 4: Simplify right side
    144,108x = 99,207,675,756.25
  5. Step 5: Solve for x
    x = 99,207,675,756.25/144,108
  6. Step 6: Final answer
    x = 688,425.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.