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Finding the Third Proportional to 156,943 and 342,316

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Solution

The third proportional to 156,943 and 342,316 is: 746,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943 : 342,316 = 342,316 : x
  2. Step 2: Convert to fraction form
    156,943/342,316 = 342,316/x
  3. Step 3: Cross multiply
    156,943x = 342,316 × 342,316
  4. Step 4: Simplify right side
    156,943x = 117,180,243,856
  5. Step 5: Solve for x
    x = 117,180,243,856/156,943
  6. Step 6: Final answer
    x = 746,642.05

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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.