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Finding the Third Proportional to 321,689.63 and 696,332.25

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Solution

The third proportional to 321,689.63 and 696,332.25 is: 1,507,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,689.63 : 696,332.25 = 696,332.25 : x
  2. Step 2: Convert to fraction form
    321,689.63/696,332.25 = 696,332.25/x
  3. Step 3: Cross multiply
    321,689.63x = 696,332.25 × 696,332.25
  4. Step 4: Simplify right side
    321,689.63x = 484,878,602,390.06
  5. Step 5: Solve for x
    x = 484,878,602,390.06/321,689.63
  6. Step 6: Final answer
    x = 1,507,287.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.