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Finding the Third Proportional to 157,599 and 212,319

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Solution

The third proportional to 157,599 and 212,319 is: 286,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,599 : 212,319 = 212,319 : x
  2. Step 2: Convert to fraction form
    157,599/212,319 = 212,319/x
  3. Step 3: Cross multiply
    157,599x = 212,319 × 212,319
  4. Step 4: Simplify right side
    157,599x = 45,079,357,761
  5. Step 5: Solve for x
    x = 45,079,357,761/157,599
  6. Step 6: Final answer
    x = 286,038.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.