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Finding the Third Proportional to 243,326 and 358,671

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Solution

The third proportional to 243,326 and 358,671 is: 528,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,326 : 358,671 = 358,671 : x
  2. Step 2: Convert to fraction form
    243,326/358,671 = 358,671/x
  3. Step 3: Cross multiply
    243,326x = 358,671 × 358,671
  4. Step 4: Simplify right side
    243,326x = 128,644,886,241
  5. Step 5: Solve for x
    x = 128,644,886,241/243,326
  6. Step 6: Final answer
    x = 528,693.55

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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.