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Finding the Third Proportional to 388,400 and 586,160

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Solution

The third proportional to 388,400 and 586,160 is: 884,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,400 : 586,160 = 586,160 : x
  2. Step 2: Convert to fraction form
    388,400/586,160 = 586,160/x
  3. Step 3: Cross multiply
    388,400x = 586,160 × 586,160
  4. Step 4: Simplify right side
    388,400x = 343,583,545,600
  5. Step 5: Solve for x
    x = 343,583,545,600/388,400
  6. Step 6: Final answer
    x = 884,612.63

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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.