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Finding the Third Proportional to 210,308 and 455,590

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Solution

The third proportional to 210,308 and 455,590 is: 986,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,308 : 455,590 = 455,590 : x
  2. Step 2: Convert to fraction form
    210,308/455,590 = 455,590/x
  3. Step 3: Cross multiply
    210,308x = 455,590 × 455,590
  4. Step 4: Simplify right side
    210,308x = 207,562,248,100
  5. Step 5: Solve for x
    x = 207,562,248,100/210,308
  6. Step 6: Final answer
    x = 986,944.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.