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Finding the Third Proportional to 103,312 and 151,429

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Solution

The third proportional to 103,312 and 151,429 is: 221,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,312 : 151,429 = 151,429 : x
  2. Step 2: Convert to fraction form
    103,312/151,429 = 151,429/x
  3. Step 3: Cross multiply
    103,312x = 151,429 × 151,429
  4. Step 4: Simplify right side
    103,312x = 22,930,742,041
  5. Step 5: Solve for x
    x = 22,930,742,041/103,312
  6. Step 6: Final answer
    x = 221,956.23

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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.