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Finding the Third Proportional to 292,182 and 390,159

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Solution

The third proportional to 292,182 and 390,159 is: 520,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,182 : 390,159 = 390,159 : x
  2. Step 2: Convert to fraction form
    292,182/390,159 = 390,159/x
  3. Step 3: Cross multiply
    292,182x = 390,159 × 390,159
  4. Step 4: Simplify right side
    292,182x = 152,224,045,281
  5. Step 5: Solve for x
    x = 152,224,045,281/292,182
  6. Step 6: Final answer
    x = 520,990.50

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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.