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Finding the Third Proportional to 432,339 and 615,875

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Solution

The third proportional to 432,339 and 615,875 is: 877,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,339 : 615,875 = 615,875 : x
  2. Step 2: Convert to fraction form
    432,339/615,875 = 615,875/x
  3. Step 3: Cross multiply
    432,339x = 615,875 × 615,875
  4. Step 4: Simplify right side
    432,339x = 379,302,015,625
  5. Step 5: Solve for x
    x = 379,302,015,625/432,339
  6. Step 6: Final answer
    x = 877,325.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.