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Finding the Third Proportional to 503,712 and 760,420

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Solution

The third proportional to 503,712 and 760,420 is: 1,147,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,712 : 760,420 = 760,420 : x
  2. Step 2: Convert to fraction form
    503,712/760,420 = 760,420/x
  3. Step 3: Cross multiply
    503,712x = 760,420 × 760,420
  4. Step 4: Simplify right side
    503,712x = 578,238,576,400
  5. Step 5: Solve for x
    x = 578,238,576,400/503,712
  6. Step 6: Final answer
    x = 1,147,954.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.