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Finding the Third Proportional to 238,310 and 349,445

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Solution

The third proportional to 238,310 and 349,445 is: 512,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,310 : 349,445 = 349,445 : x
  2. Step 2: Convert to fraction form
    238,310/349,445 = 349,445/x
  3. Step 3: Cross multiply
    238,310x = 349,445 × 349,445
  4. Step 4: Simplify right side
    238,310x = 122,111,808,025
  5. Step 5: Solve for x
    x = 122,111,808,025/238,310
  6. Step 6: Final answer
    x = 512,407.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.