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Finding the Third Proportional to 388,438 and 610,369

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Solution

The third proportional to 388,438 and 610,369 is: 959,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,438 : 610,369 = 610,369 : x
  2. Step 2: Convert to fraction form
    388,438/610,369 = 610,369/x
  3. Step 3: Cross multiply
    388,438x = 610,369 × 610,369
  4. Step 4: Simplify right side
    388,438x = 372,550,316,161
  5. Step 5: Solve for x
    x = 372,550,316,161/388,438
  6. Step 6: Final answer
    x = 959,098.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.