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Finding the Third Proportional to 142,437 and 211,459

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Solution

The third proportional to 142,437 and 211,459 is: 313,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,437 : 211,459 = 211,459 : x
  2. Step 2: Convert to fraction form
    142,437/211,459 = 211,459/x
  3. Step 3: Cross multiply
    142,437x = 211,459 × 211,459
  4. Step 4: Simplify right side
    142,437x = 44,714,908,681
  5. Step 5: Solve for x
    x = 44,714,908,681/142,437
  6. Step 6: Final answer
    x = 313,927.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.