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Finding the Third Proportional to 427,801.50 and 908,075.81

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Solution

The third proportional to 427,801.50 and 908,075.81 is: 1,927,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,801.50 : 908,075.81 = 908,075.81 : x
  2. Step 2: Convert to fraction form
    427,801.50/908,075.81 = 908,075.81/x
  3. Step 3: Cross multiply
    427,801.50x = 908,075.81 × 908,075.81
  4. Step 4: Simplify right side
    427,801.50x = 824,601,681,247.54
  5. Step 5: Solve for x
    x = 824,601,681,247.54/427,801.50
  6. Step 6: Final answer
    x = 1,927,533.40

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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.