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Finding the Third Proportional to 446,910 and 625,139

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Solution

The third proportional to 446,910 and 625,139 is: 874,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,910 : 625,139 = 625,139 : x
  2. Step 2: Convert to fraction form
    446,910/625,139 = 625,139/x
  3. Step 3: Cross multiply
    446,910x = 625,139 × 625,139
  4. Step 4: Simplify right side
    446,910x = 390,798,769,321
  5. Step 5: Solve for x
    x = 390,798,769,321/446,910
  6. Step 6: Final answer
    x = 874,446.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.