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Finding the Third Proportional to 210,762 and 316,146

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Solution

The third proportional to 210,762 and 316,146 is: 474,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,762 : 316,146 = 316,146 : x
  2. Step 2: Convert to fraction form
    210,762/316,146 = 316,146/x
  3. Step 3: Cross multiply
    210,762x = 316,146 × 316,146
  4. Step 4: Simplify right side
    210,762x = 99,948,293,316
  5. Step 5: Solve for x
    x = 99,948,293,316/210,762
  6. Step 6: Final answer
    x = 474,223.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.