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Finding the Third Proportional to 252,106 and 390,315

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Solution

The third proportional to 252,106 and 390,315 is: 604,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,106 : 390,315 = 390,315 : x
  2. Step 2: Convert to fraction form
    252,106/390,315 = 390,315/x
  3. Step 3: Cross multiply
    252,106x = 390,315 × 390,315
  4. Step 4: Simplify right side
    252,106x = 152,345,799,225
  5. Step 5: Solve for x
    x = 152,345,799,225/252,106
  6. Step 6: Final answer
    x = 604,292.64

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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.