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Finding the Third Proportional to 369,576 and 782,776

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Solution

The third proportional to 369,576 and 782,776 is: 1,657,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,576 : 782,776 = 782,776 : x
  2. Step 2: Convert to fraction form
    369,576/782,776 = 782,776/x
  3. Step 3: Cross multiply
    369,576x = 782,776 × 782,776
  4. Step 4: Simplify right side
    369,576x = 612,738,266,176
  5. Step 5: Solve for x
    x = 612,738,266,176/369,576
  6. Step 6: Final answer
    x = 1,657,949.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.