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Finding the Third Proportional to 251,973 and 390,160

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Solution

The third proportional to 251,973 and 390,160 is: 604,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,973 : 390,160 = 390,160 : x
  2. Step 2: Convert to fraction form
    251,973/390,160 = 390,160/x
  3. Step 3: Cross multiply
    251,973x = 390,160 × 390,160
  4. Step 4: Simplify right side
    251,973x = 152,224,825,600
  5. Step 5: Solve for x
    x = 152,224,825,600/251,973
  6. Step 6: Final answer
    x = 604,131.50

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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.