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Finding the Third Proportional to 506,630 and 790,617

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Solution

The third proportional to 506,630 and 790,617 is: 1,233,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,630 : 790,617 = 790,617 : x
  2. Step 2: Convert to fraction form
    506,630/790,617 = 790,617/x
  3. Step 3: Cross multiply
    506,630x = 790,617 × 790,617
  4. Step 4: Simplify right side
    506,630x = 625,075,240,689
  5. Step 5: Solve for x
    x = 625,075,240,689/506,630
  6. Step 6: Final answer
    x = 1,233,790.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.