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Finding the Third Proportional to 144,688 and 312,772

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Solution

The third proportional to 144,688 and 312,772 is: 676,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,688 : 312,772 = 312,772 : x
  2. Step 2: Convert to fraction form
    144,688/312,772 = 312,772/x
  3. Step 3: Cross multiply
    144,688x = 312,772 × 312,772
  4. Step 4: Simplify right side
    144,688x = 97,826,323,984
  5. Step 5: Solve for x
    x = 97,826,323,984/144,688
  6. Step 6: Final answer
    x = 676,119.13

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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.