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Finding the Third Proportional to 251,924 and 390,056

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Solution

The third proportional to 251,924 and 390,056 is: 603,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,924 : 390,056 = 390,056 : x
  2. Step 2: Convert to fraction form
    251,924/390,056 = 390,056/x
  3. Step 3: Cross multiply
    251,924x = 390,056 × 390,056
  4. Step 4: Simplify right side
    251,924x = 152,143,683,136
  5. Step 5: Solve for x
    x = 152,143,683,136/251,924
  6. Step 6: Final answer
    x = 603,926.91

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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.