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Finding the Third Proportional to 388,402 and 586,163

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Solution

The third proportional to 388,402 and 586,163 is: 884,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,402 : 586,163 = 586,163 : x
  2. Step 2: Convert to fraction form
    388,402/586,163 = 586,163/x
  3. Step 3: Cross multiply
    388,402x = 586,163 × 586,163
  4. Step 4: Simplify right side
    388,402x = 343,587,062,569
  5. Step 5: Solve for x
    x = 343,587,062,569/388,402
  6. Step 6: Final answer
    x = 884,617.13

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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.