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Finding the Third Proportional to 243,362 and 565,397

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Solution

The third proportional to 243,362 and 565,397 is: 1,313,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,362 : 565,397 = 565,397 : x
  2. Step 2: Convert to fraction form
    243,362/565,397 = 565,397/x
  3. Step 3: Cross multiply
    243,362x = 565,397 × 565,397
  4. Step 4: Simplify right side
    243,362x = 319,673,767,609
  5. Step 5: Solve for x
    x = 319,673,767,609/243,362
  6. Step 6: Final answer
    x = 1,313,573.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.