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Finding the Third Proportional to 259,672 and 392,316

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Solution

The third proportional to 259,672 and 392,316 is: 592,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,672 : 392,316 = 392,316 : x
  2. Step 2: Convert to fraction form
    259,672/392,316 = 392,316/x
  3. Step 3: Cross multiply
    259,672x = 392,316 × 392,316
  4. Step 4: Simplify right side
    259,672x = 153,911,843,856
  5. Step 5: Solve for x
    x = 153,911,843,856/259,672
  6. Step 6: Final answer
    x = 592,716.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.