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Finding the Third Proportional to 510,420 and 760,653

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Solution

The third proportional to 510,420 and 760,653 is: 1,133,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,420 : 760,653 = 760,653 : x
  2. Step 2: Convert to fraction form
    510,420/760,653 = 760,653/x
  3. Step 3: Cross multiply
    510,420x = 760,653 × 760,653
  4. Step 4: Simplify right side
    510,420x = 578,592,986,409
  5. Step 5: Solve for x
    x = 578,592,986,409/510,420
  6. Step 6: Final answer
    x = 1,133,562.53

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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.