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Finding the Third Proportional to 487,393 and 727,032

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Solution

The third proportional to 487,393 and 727,032 is: 1,084,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,393 : 727,032 = 727,032 : x
  2. Step 2: Convert to fraction form
    487,393/727,032 = 727,032/x
  3. Step 3: Cross multiply
    487,393x = 727,032 × 727,032
  4. Step 4: Simplify right side
    487,393x = 528,575,529,024
  5. Step 5: Solve for x
    x = 528,575,529,024/487,393
  6. Step 6: Final answer
    x = 1,084,495.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.