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Finding the Third Proportional to 258,952 and 390,808

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Solution

The third proportional to 258,952 and 390,808 is: 589,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,952 : 390,808 = 390,808 : x
  2. Step 2: Convert to fraction form
    258,952/390,808 = 390,808/x
  3. Step 3: Cross multiply
    258,952x = 390,808 × 390,808
  4. Step 4: Simplify right side
    258,952x = 152,730,892,864
  5. Step 5: Solve for x
    x = 152,730,892,864/258,952
  6. Step 6: Final answer
    x = 589,803.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.