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Finding the Third Proportional to 157,657 and 345,973

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Solution

The third proportional to 157,657 and 345,973 is: 759,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,657 : 345,973 = 345,973 : x
  2. Step 2: Convert to fraction form
    157,657/345,973 = 345,973/x
  3. Step 3: Cross multiply
    157,657x = 345,973 × 345,973
  4. Step 4: Simplify right side
    157,657x = 119,697,316,729
  5. Step 5: Solve for x
    x = 119,697,316,729/157,657
  6. Step 6: Final answer
    x = 759,226.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.