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Finding the Third Proportional to 144,730 and 312,788

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Solution

The third proportional to 144,730 and 312,788 is: 675,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,730 : 312,788 = 312,788 : x
  2. Step 2: Convert to fraction form
    144,730/312,788 = 312,788/x
  3. Step 3: Cross multiply
    144,730x = 312,788 × 312,788
  4. Step 4: Simplify right side
    144,730x = 97,836,332,944
  5. Step 5: Solve for x
    x = 97,836,332,944/144,730
  6. Step 6: Final answer
    x = 675,992.07

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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.