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Finding the Third Proportional to 423,611.02 and 645,354.84

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Solution

The third proportional to 423,611.02 and 645,354.84 is: 983,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,611.02 : 645,354.84 = 645,354.84 : x
  2. Step 2: Convert to fraction form
    423,611.02/645,354.84 = 645,354.84/x
  3. Step 3: Cross multiply
    423,611.02x = 645,354.84 × 645,354.84
  4. Step 4: Simplify right side
    423,611.02x = 416,482,874,351.59
  5. Step 5: Solve for x
    x = 416,482,874,351.59/423,611.02
  6. Step 6: Final answer
    x = 983,172.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.