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Finding the Third Proportional to 275,572 and 390,072

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Solution

The third proportional to 275,572 and 390,072 is: 552,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,572 : 390,072 = 390,072 : x
  2. Step 2: Convert to fraction form
    275,572/390,072 = 390,072/x
  3. Step 3: Cross multiply
    275,572x = 390,072 × 390,072
  4. Step 4: Simplify right side
    275,572x = 152,156,165,184
  5. Step 5: Solve for x
    x = 152,156,165,184/275,572
  6. Step 6: Final answer
    x = 552,146.68

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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.