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Finding the Third Proportional to 518,864.25 and 662,992.50

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Solution

The third proportional to 518,864.25 and 662,992.50 is: 847,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,864.25 : 662,992.50 = 662,992.50 : x
  2. Step 2: Convert to fraction form
    518,864.25/662,992.50 = 662,992.50/x
  3. Step 3: Cross multiply
    518,864.25x = 662,992.50 × 662,992.50
  4. Step 4: Simplify right side
    518,864.25x = 439,559,055,056.25
  5. Step 5: Solve for x
    x = 439,559,055,056.25/518,864.25
  6. Step 6: Final answer
    x = 847,156.18

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.