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Finding the Third Proportional to 160,303 and 250,160

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Solution

The third proportional to 160,303 and 250,160 is: 390,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,303 : 250,160 = 250,160 : x
  2. Step 2: Convert to fraction form
    160,303/250,160 = 250,160/x
  3. Step 3: Cross multiply
    160,303x = 250,160 × 250,160
  4. Step 4: Simplify right side
    160,303x = 62,580,025,600
  5. Step 5: Solve for x
    x = 62,580,025,600/160,303
  6. Step 6: Final answer
    x = 390,385.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.