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Finding the Third Proportional to 432,348 and 615,886

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Solution

The third proportional to 432,348 and 615,886 is: 877,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,348 : 615,886 = 615,886 : x
  2. Step 2: Convert to fraction form
    432,348/615,886 = 615,886/x
  3. Step 3: Cross multiply
    432,348x = 615,886 × 615,886
  4. Step 4: Simplify right side
    432,348x = 379,315,564,996
  5. Step 5: Solve for x
    x = 379,315,564,996/432,348
  6. Step 6: Final answer
    x = 877,338.54

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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.