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Finding the Third Proportional to 360,651 and 783,510

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Solution

The third proportional to 360,651 and 783,510 is: 1,702,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,651 : 783,510 = 783,510 : x
  2. Step 2: Convert to fraction form
    360,651/783,510 = 783,510/x
  3. Step 3: Cross multiply
    360,651x = 783,510 × 783,510
  4. Step 4: Simplify right side
    360,651x = 613,887,920,100
  5. Step 5: Solve for x
    x = 613,887,920,100/360,651
  6. Step 6: Final answer
    x = 1,702,166.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.