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Finding the Third Proportional to 145,806 and 228,429

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Solution

The third proportional to 145,806 and 228,429 is: 357,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806 : 228,429 = 228,429 : x
  2. Step 2: Convert to fraction form
    145,806/228,429 = 228,429/x
  3. Step 3: Cross multiply
    145,806x = 228,429 × 228,429
  4. Step 4: Simplify right side
    145,806x = 52,179,808,041
  5. Step 5: Solve for x
    x = 52,179,808,041/145,806
  6. Step 6: Final answer
    x = 357,871.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.