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Finding the Third Proportional to 252,104 and 390,312

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Solution

The third proportional to 252,104 and 390,312 is: 604,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,104 : 390,312 = 390,312 : x
  2. Step 2: Convert to fraction form
    252,104/390,312 = 390,312/x
  3. Step 3: Cross multiply
    252,104x = 390,312 × 390,312
  4. Step 4: Simplify right side
    252,104x = 152,343,457,344
  5. Step 5: Solve for x
    x = 152,343,457,344/252,104
  6. Step 6: Final answer
    x = 604,288.14

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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.