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Finding the Third Proportional to 252,153 and 390,420

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Solution

The third proportional to 252,153 and 390,420 is: 604,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,153 : 390,420 = 390,420 : x
  2. Step 2: Convert to fraction form
    252,153/390,420 = 390,420/x
  3. Step 3: Cross multiply
    252,153x = 390,420 × 390,420
  4. Step 4: Simplify right side
    252,153x = 152,427,776,400
  5. Step 5: Solve for x
    x = 152,427,776,400/252,153
  6. Step 6: Final answer
    x = 604,505.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.