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Finding the Third Proportional to 430,634 and 616,426

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Solution

The third proportional to 430,634 and 616,426 is: 882,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,634 : 616,426 = 616,426 : x
  2. Step 2: Convert to fraction form
    430,634/616,426 = 616,426/x
  3. Step 3: Cross multiply
    430,634x = 616,426 × 616,426
  4. Step 4: Simplify right side
    430,634x = 379,981,013,476
  5. Step 5: Solve for x
    x = 379,981,013,476/430,634
  6. Step 6: Final answer
    x = 882,375.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.