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Finding the Third Proportional to 387,040 and 569,179

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Solution

The third proportional to 387,040 and 569,179 is: 837,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,040 : 569,179 = 569,179 : x
  2. Step 2: Convert to fraction form
    387,040/569,179 = 569,179/x
  3. Step 3: Cross multiply
    387,040x = 569,179 × 569,179
  4. Step 4: Simplify right side
    387,040x = 323,964,734,041
  5. Step 5: Solve for x
    x = 323,964,734,041/387,040
  6. Step 6: Final answer
    x = 837,031.66

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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.