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Finding the Third Proportional to 292,180 and 390,156

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Solution

The third proportional to 292,180 and 390,156 is: 520,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,180 : 390,156 = 390,156 : x
  2. Step 2: Convert to fraction form
    292,180/390,156 = 390,156/x
  3. Step 3: Cross multiply
    292,180x = 390,156 × 390,156
  4. Step 4: Simplify right side
    292,180x = 152,221,704,336
  5. Step 5: Solve for x
    x = 152,221,704,336/292,180
  6. Step 6: Final answer
    x = 520,986.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.