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Finding the Third Proportional to 130,773 and 202,075.50

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Solution

The third proportional to 130,773 and 202,075.50 is: 312,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,773 : 202,075.50 = 202,075.50 : x
  2. Step 2: Convert to fraction form
    130,773/202,075.50 = 202,075.50/x
  3. Step 3: Cross multiply
    130,773x = 202,075.50 × 202,075.50
  4. Step 4: Simplify right side
    130,773x = 40,834,507,700.25
  5. Step 5: Solve for x
    x = 40,834,507,700.25/130,773
  6. Step 6: Final answer
    x = 312,254.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.