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Finding the Third Proportional to 155,320 and 237,495

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Solution

The third proportional to 155,320 and 237,495 is: 363,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,320 : 237,495 = 237,495 : x
  2. Step 2: Convert to fraction form
    155,320/237,495 = 237,495/x
  3. Step 3: Cross multiply
    155,320x = 237,495 × 237,495
  4. Step 4: Simplify right side
    155,320x = 56,403,875,025
  5. Step 5: Solve for x
    x = 56,403,875,025/155,320
  6. Step 6: Final answer
    x = 363,146.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.