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Finding the Third Proportional to 163,026 and 343,737

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Solution

The third proportional to 163,026 and 343,737 is: 724,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,026 : 343,737 = 343,737 : x
  2. Step 2: Convert to fraction form
    163,026/343,737 = 343,737/x
  3. Step 3: Cross multiply
    163,026x = 343,737 × 343,737
  4. Step 4: Simplify right side
    163,026x = 118,155,125,169
  5. Step 5: Solve for x
    x = 118,155,125,169/163,026
  6. Step 6: Final answer
    x = 724,762.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.