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Finding the Third Proportional to 172,038 and 361,518

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Solution

The third proportional to 172,038 and 361,518 is: 759,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,038 : 361,518 = 361,518 : x
  2. Step 2: Convert to fraction form
    172,038/361,518 = 361,518/x
  3. Step 3: Cross multiply
    172,038x = 361,518 × 361,518
  4. Step 4: Simplify right side
    172,038x = 130,695,264,324
  5. Step 5: Solve for x
    x = 130,695,264,324/172,038
  6. Step 6: Final answer
    x = 759,688.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.