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Finding the Third Proportional to 157,102 and 291,239

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Solution

The third proportional to 157,102 and 291,239 is: 539,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102 : 291,239 = 291,239 : x
  2. Step 2: Convert to fraction form
    157,102/291,239 = 291,239/x
  3. Step 3: Cross multiply
    157,102x = 291,239 × 291,239
  4. Step 4: Simplify right side
    157,102x = 84,820,155,121
  5. Step 5: Solve for x
    x = 84,820,155,121/157,102
  6. Step 6: Final answer
    x = 539,905.00

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.