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Finding the Third Proportional to 286,213 and 453,102

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Solution

The third proportional to 286,213 and 453,102 is: 717,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,213 : 453,102 = 453,102 : x
  2. Step 2: Convert to fraction form
    286,213/453,102 = 453,102/x
  3. Step 3: Cross multiply
    286,213x = 453,102 × 453,102
  4. Step 4: Simplify right side
    286,213x = 205,301,422,404
  5. Step 5: Solve for x
    x = 205,301,422,404/286,213
  6. Step 6: Final answer
    x = 717,302.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.