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Finding the Third Proportional to 386,064 and 581,931

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Solution

The third proportional to 386,064 and 581,931 is: 877,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,064 : 581,931 = 581,931 : x
  2. Step 2: Convert to fraction form
    386,064/581,931 = 581,931/x
  3. Step 3: Cross multiply
    386,064x = 581,931 × 581,931
  4. Step 4: Simplify right side
    386,064x = 338,643,688,761
  5. Step 5: Solve for x
    x = 338,643,688,761/386,064
  6. Step 6: Final answer
    x = 877,169.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.