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Finding the Third Proportional to 288,117 and 432,175.50

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Solution

The third proportional to 288,117 and 432,175.50 is: 648,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,117 : 432,175.50 = 432,175.50 : x
  2. Step 2: Convert to fraction form
    288,117/432,175.50 = 432,175.50/x
  3. Step 3: Cross multiply
    288,117x = 432,175.50 × 432,175.50
  4. Step 4: Simplify right side
    288,117x = 186,775,662,800.25
  5. Step 5: Solve for x
    x = 186,775,662,800.25/288,117
  6. Step 6: Final answer
    x = 648,263.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.