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Finding the Third Proportional to 253,271 and 390,871.75

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Solution

The third proportional to 253,271 and 390,871.75 is: 603,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,271 : 390,871.75 = 390,871.75 : x
  2. Step 2: Convert to fraction form
    253,271/390,871.75 = 390,871.75/x
  3. Step 3: Cross multiply
    253,271x = 390,871.75 × 390,871.75
  4. Step 4: Simplify right side
    253,271x = 152,780,724,948.06
  5. Step 5: Solve for x
    x = 152,780,724,948.06/253,271
  6. Step 6: Final answer
    x = 603,230.24

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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.