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Finding the Third Proportional to 136,312.50 and 279,237

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Solution

The third proportional to 136,312.50 and 279,237 is: 572,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,312.50 : 279,237 = 279,237 : x
  2. Step 2: Convert to fraction form
    136,312.50/279,237 = 279,237/x
  3. Step 3: Cross multiply
    136,312.50x = 279,237 × 279,237
  4. Step 4: Simplify right side
    136,312.50x = 77,973,302,169
  5. Step 5: Solve for x
    x = 77,973,302,169/136,312.50
  6. Step 6: Final answer
    x = 572,018.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.