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Finding the Third Proportional to 292,208 and 438,310

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Solution

The third proportional to 292,208 and 438,310 is: 657,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,208 : 438,310 = 438,310 : x
  2. Step 2: Convert to fraction form
    292,208/438,310 = 438,310/x
  3. Step 3: Cross multiply
    292,208x = 438,310 × 438,310
  4. Step 4: Simplify right side
    292,208x = 192,115,656,100
  5. Step 5: Solve for x
    x = 192,115,656,100/292,208
  6. Step 6: Final answer
    x = 657,462.00

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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.