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Finding the Third Proportional to 387,075.75 and 534,868.50

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Solution

The third proportional to 387,075.75 and 534,868.50 is: 739,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,075.75 : 534,868.50 = 534,868.50 : x
  2. Step 2: Convert to fraction form
    387,075.75/534,868.50 = 534,868.50/x
  3. Step 3: Cross multiply
    387,075.75x = 534,868.50 × 534,868.50
  4. Step 4: Simplify right side
    387,075.75x = 286,084,312,292.25
  5. Step 5: Solve for x
    x = 286,084,312,292.25/387,075.75
  6. Step 6: Final answer
    x = 739,091.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.