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Finding the Third Proportional to 358,967 and 783,130

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Solution

The third proportional to 358,967 and 783,130 is: 1,708,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,967 : 783,130 = 783,130 : x
  2. Step 2: Convert to fraction form
    358,967/783,130 = 783,130/x
  3. Step 3: Cross multiply
    358,967x = 783,130 × 783,130
  4. Step 4: Simplify right side
    358,967x = 613,292,596,900
  5. Step 5: Solve for x
    x = 613,292,596,900/358,967
  6. Step 6: Final answer
    x = 1,708,492.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.