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Finding the Third Proportional to 346,308 and 541,332

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Solution

The third proportional to 346,308 and 541,332 is: 846,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,308 : 541,332 = 541,332 : x
  2. Step 2: Convert to fraction form
    346,308/541,332 = 541,332/x
  3. Step 3: Cross multiply
    346,308x = 541,332 × 541,332
  4. Step 4: Simplify right side
    346,308x = 293,040,334,224
  5. Step 5: Solve for x
    x = 293,040,334,224/346,308
  6. Step 6: Final answer
    x = 846,184.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.