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Finding the Third Proportional to 194,528 and 423,139

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Solution

The third proportional to 194,528 and 423,139 is: 920,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,528 : 423,139 = 423,139 : x
  2. Step 2: Convert to fraction form
    194,528/423,139 = 423,139/x
  3. Step 3: Cross multiply
    194,528x = 423,139 × 423,139
  4. Step 4: Simplify right side
    194,528x = 179,046,613,321
  5. Step 5: Solve for x
    x = 179,046,613,321/194,528
  6. Step 6: Final answer
    x = 920,415.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.