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Finding the Third Proportional to 144,724 and 312,842

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Solution

The third proportional to 144,724 and 312,842 is: 676,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,724 : 312,842 = 312,842 : x
  2. Step 2: Convert to fraction form
    144,724/312,842 = 312,842/x
  3. Step 3: Cross multiply
    144,724x = 312,842 × 312,842
  4. Step 4: Simplify right side
    144,724x = 97,870,116,964
  5. Step 5: Solve for x
    x = 97,870,116,964/144,724
  6. Step 6: Final answer
    x = 676,253.54

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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.