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Finding the Third Proportional to 252,592 and 390,146

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Solution

The third proportional to 252,592 and 390,146 is: 602,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,592 : 390,146 = 390,146 : x
  2. Step 2: Convert to fraction form
    252,592/390,146 = 390,146/x
  3. Step 3: Cross multiply
    252,592x = 390,146 × 390,146
  4. Step 4: Simplify right side
    252,592x = 152,213,901,316
  5. Step 5: Solve for x
    x = 152,213,901,316/252,592
  6. Step 6: Final answer
    x = 602,607.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.