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Finding the Third Proportional to 280,278 and 430,785

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Solution

The third proportional to 280,278 and 430,785 is: 662,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,278 : 430,785 = 430,785 : x
  2. Step 2: Convert to fraction form
    280,278/430,785 = 430,785/x
  3. Step 3: Cross multiply
    280,278x = 430,785 × 430,785
  4. Step 4: Simplify right side
    280,278x = 185,575,716,225
  5. Step 5: Solve for x
    x = 185,575,716,225/280,278
  6. Step 6: Final answer
    x = 662,113.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.