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Finding the Third Proportional to 140,688 and 286,586

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Solution

The third proportional to 140,688 and 286,586 is: 583,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,688 : 286,586 = 286,586 : x
  2. Step 2: Convert to fraction form
    140,688/286,586 = 286,586/x
  3. Step 3: Cross multiply
    140,688x = 286,586 × 286,586
  4. Step 4: Simplify right side
    140,688x = 82,131,535,396
  5. Step 5: Solve for x
    x = 82,131,535,396/140,688
  6. Step 6: Final answer
    x = 583,784.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.