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Finding the Third Proportional to 387,057 and 569,205

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Solution

The third proportional to 387,057 and 569,205 is: 837,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,057 : 569,205 = 569,205 : x
  2. Step 2: Convert to fraction form
    387,057/569,205 = 569,205/x
  3. Step 3: Cross multiply
    387,057x = 569,205 × 569,205
  4. Step 4: Simplify right side
    387,057x = 323,994,332,025
  5. Step 5: Solve for x
    x = 323,994,332,025/387,057
  6. Step 6: Final answer
    x = 837,071.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.