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Finding the Third Proportional to 488,010 and 779,214

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Solution

The third proportional to 488,010 and 779,214 is: 1,244,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,010 : 779,214 = 779,214 : x
  2. Step 2: Convert to fraction form
    488,010/779,214 = 779,214/x
  3. Step 3: Cross multiply
    488,010x = 779,214 × 779,214
  4. Step 4: Simplify right side
    488,010x = 607,174,457,796
  5. Step 5: Solve for x
    x = 607,174,457,796/488,010
  6. Step 6: Final answer
    x = 1,244,184.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.