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Finding the Third Proportional to 144,728 and 312,784

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Solution

The third proportional to 144,728 and 312,784 is: 675,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,728 : 312,784 = 312,784 : x
  2. Step 2: Convert to fraction form
    144,728/312,784 = 312,784/x
  3. Step 3: Cross multiply
    144,728x = 312,784 × 312,784
  4. Step 4: Simplify right side
    144,728x = 97,833,830,656
  5. Step 5: Solve for x
    x = 97,833,830,656/144,728
  6. Step 6: Final answer
    x = 675,984.13

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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.