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Finding the Third Proportional to 210,370.50 and 287,411.63

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Solution

The third proportional to 210,370.50 and 287,411.63 is: 392,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,370.50 : 287,411.63 = 287,411.63 : x
  2. Step 2: Convert to fraction form
    210,370.50/287,411.63 = 287,411.63/x
  3. Step 3: Cross multiply
    210,370.50x = 287,411.63 × 287,411.63
  4. Step 4: Simplify right side
    210,370.50x = 82,605,442,185.14
  5. Step 5: Solve for x
    x = 82,605,442,185.14/210,370.50
  6. Step 6: Final answer
    x = 392,666.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.