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Finding the Third Proportional to 210,684 and 342,277.50

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Solution

The third proportional to 210,684 and 342,277.50 is: 556,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,684 : 342,277.50 = 342,277.50 : x
  2. Step 2: Convert to fraction form
    210,684/342,277.50 = 342,277.50/x
  3. Step 3: Cross multiply
    210,684x = 342,277.50 × 342,277.50
  4. Step 4: Simplify right side
    210,684x = 117,153,887,006.25
  5. Step 5: Solve for x
    x = 117,153,887,006.25/210,684
  6. Step 6: Final answer
    x = 556,064.47

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.