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Finding the Third Proportional to 388,416 and 586,190

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Solution

The third proportional to 388,416 and 586,190 is: 884,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,416 : 586,190 = 586,190 : x
  2. Step 2: Convert to fraction form
    388,416/586,190 = 586,190/x
  3. Step 3: Cross multiply
    388,416x = 586,190 × 586,190
  4. Step 4: Simplify right side
    388,416x = 343,618,716,100
  5. Step 5: Solve for x
    x = 343,618,716,100/388,416
  6. Step 6: Final answer
    x = 884,666.74

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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.