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Finding the Third Proportional to 280,069 and 430,487

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Solution

The third proportional to 280,069 and 430,487 is: 661,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,069 : 430,487 = 430,487 : x
  2. Step 2: Convert to fraction form
    280,069/430,487 = 430,487/x
  3. Step 3: Cross multiply
    280,069x = 430,487 × 430,487
  4. Step 4: Simplify right side
    280,069x = 185,319,057,169
  5. Step 5: Solve for x
    x = 185,319,057,169/280,069
  6. Step 6: Final answer
    x = 661,690.72

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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.