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Finding the Third Proportional to 531,075 and 1,146,666

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Solution

The third proportional to 531,075 and 1,146,666 is: 2,475,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,075 : 1,146,666 = 1,146,666 : x
  2. Step 2: Convert to fraction form
    531,075/1,146,666 = 1,146,666/x
  3. Step 3: Cross multiply
    531,075x = 1,146,666 × 1,146,666
  4. Step 4: Simplify right side
    531,075x = 1,314,842,915,556
  5. Step 5: Solve for x
    x = 1,314,842,915,556/531,075
  6. Step 6: Final answer
    x = 2,475,813.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.