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Finding the Third Proportional to 142,931 and 210,117

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Solution

The third proportional to 142,931 and 210,117 is: 308,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,931 : 210,117 = 210,117 : x
  2. Step 2: Convert to fraction form
    142,931/210,117 = 210,117/x
  3. Step 3: Cross multiply
    142,931x = 210,117 × 210,117
  4. Step 4: Simplify right side
    142,931x = 44,149,153,689
  5. Step 5: Solve for x
    x = 44,149,153,689/142,931
  6. Step 6: Final answer
    x = 308,884.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.