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Finding the Third Proportional to 140,642 and 286,506

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Solution

The third proportional to 140,642 and 286,506 is: 583,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,642 : 286,506 = 286,506 : x
  2. Step 2: Convert to fraction form
    140,642/286,506 = 286,506/x
  3. Step 3: Cross multiply
    140,642x = 286,506 × 286,506
  4. Step 4: Simplify right side
    140,642x = 82,085,688,036
  5. Step 5: Solve for x
    x = 82,085,688,036/140,642
  6. Step 6: Final answer
    x = 583,649.89

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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.