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Finding the Third Proportional to 157,730 and 342,082

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Solution

The third proportional to 157,730 and 342,082 is: 741,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,730 : 342,082 = 342,082 : x
  2. Step 2: Convert to fraction form
    157,730/342,082 = 342,082/x
  3. Step 3: Cross multiply
    157,730x = 342,082 × 342,082
  4. Step 4: Simplify right side
    157,730x = 117,020,094,724
  5. Step 5: Solve for x
    x = 117,020,094,724/157,730
  6. Step 6: Final answer
    x = 741,901.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.