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Finding the Third Proportional to 386,220 and 577,135.50

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Solution

The third proportional to 386,220 and 577,135.50 is: 862,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,220 : 577,135.50 = 577,135.50 : x
  2. Step 2: Convert to fraction form
    386,220/577,135.50 = 577,135.50/x
  3. Step 3: Cross multiply
    386,220x = 577,135.50 × 577,135.50
  4. Step 4: Simplify right side
    386,220x = 333,085,385,360.25
  5. Step 5: Solve for x
    x = 333,085,385,360.25/386,220
  6. Step 6: Final answer
    x = 862,423.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.