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Finding the Third Proportional to 423,611.25 and 645,355.13

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Solution

The third proportional to 423,611.25 and 645,355.13 is: 983,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,611.25 : 645,355.13 = 645,355.13 : x
  2. Step 2: Convert to fraction form
    423,611.25/645,355.13 = 645,355.13/x
  3. Step 3: Cross multiply
    423,611.25x = 645,355.13 × 645,355.13
  4. Step 4: Simplify right side
    423,611.25x = 416,483,237,363.77
  5. Step 5: Solve for x
    x = 416,483,237,363.77/423,611.25
  6. Step 6: Final answer
    x = 983,173.22

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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.