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Finding the Third Proportional to 130,985.50 and 286,489

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Solution

The third proportional to 130,985.50 and 286,489 is: 626,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,985.50 : 286,489 = 286,489 : x
  2. Step 2: Convert to fraction form
    130,985.50/286,489 = 286,489/x
  3. Step 3: Cross multiply
    130,985.50x = 286,489 × 286,489
  4. Step 4: Simplify right side
    130,985.50x = 82,075,947,121
  5. Step 5: Solve for x
    x = 82,075,947,121/130,985.50
  6. Step 6: Final answer
    x = 626,603.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.