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Finding the Third Proportional to 280,308 and 435,202

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Solution

The third proportional to 280,308 and 435,202 is: 675,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,308 : 435,202 = 435,202 : x
  2. Step 2: Convert to fraction form
    280,308/435,202 = 435,202/x
  3. Step 3: Cross multiply
    280,308x = 435,202 × 435,202
  4. Step 4: Simplify right side
    280,308x = 189,400,780,804
  5. Step 5: Solve for x
    x = 189,400,780,804/280,308
  6. Step 6: Final answer
    x = 675,688.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.