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Finding the Third Proportional to 430,706 and 641,850

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Solution

The third proportional to 430,706 and 641,850 is: 956,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,706 : 641,850 = 641,850 : x
  2. Step 2: Convert to fraction form
    430,706/641,850 = 641,850/x
  3. Step 3: Cross multiply
    430,706x = 641,850 × 641,850
  4. Step 4: Simplify right side
    430,706x = 411,971,422,500
  5. Step 5: Solve for x
    x = 411,971,422,500/430,706
  6. Step 6: Final answer
    x = 956,502.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.