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Finding the Third Proportional to 157,312.13 and 342,657

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Solution

The third proportional to 157,312.13 and 342,657 is: 746,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,312.13 : 342,657 = 342,657 : x
  2. Step 2: Convert to fraction form
    157,312.13/342,657 = 342,657/x
  3. Step 3: Cross multiply
    157,312.13x = 342,657 × 342,657
  4. Step 4: Simplify right side
    157,312.13x = 117,413,819,649
  5. Step 5: Solve for x
    x = 117,413,819,649/157,312.13
  6. Step 6: Final answer
    x = 746,374.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.