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Finding the Third Proportional to 404,686.13 and 842,564.53

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Solution

The third proportional to 404,686.13 and 842,564.53 is: 1,754,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,686.13 : 842,564.53 = 842,564.53 : x
  2. Step 2: Convert to fraction form
    404,686.13/842,564.53 = 842,564.53/x
  3. Step 3: Cross multiply
    404,686.13x = 842,564.53 × 842,564.53
  4. Step 4: Simplify right side
    404,686.13x = 709,914,989,320.53
  5. Step 5: Solve for x
    x = 709,914,989,320.53/404,686.13
  6. Step 6: Final answer
    x = 1,754,236.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.