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Finding the Third Proportional to 388,464 and 845,292

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Solution

The third proportional to 388,464 and 845,292 is: 1,839,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,464 : 845,292 = 845,292 : x
  2. Step 2: Convert to fraction form
    388,464/845,292 = 845,292/x
  3. Step 3: Cross multiply
    388,464x = 845,292 × 845,292
  4. Step 4: Simplify right side
    388,464x = 714,518,565,264
  5. Step 5: Solve for x
    x = 714,518,565,264/388,464
  6. Step 6: Final answer
    x = 1,839,343.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.