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Finding the Third Proportional to 289,181.25 and 432,070.88

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Solution

The third proportional to 289,181.25 and 432,070.88 is: 645,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,181.25 : 432,070.88 = 432,070.88 : x
  2. Step 2: Convert to fraction form
    289,181.25/432,070.88 = 432,070.88/x
  3. Step 3: Cross multiply
    289,181.25x = 432,070.88 × 432,070.88
  4. Step 4: Simplify right side
    289,181.25x = 186,685,241,023.27
  5. Step 5: Solve for x
    x = 186,685,241,023.27/289,181.25
  6. Step 6: Final answer
    x = 645,564.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.