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Finding the Third Proportional to 156,428 and 330,070

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Solution

The third proportional to 156,428 and 330,070 is: 696,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,428 : 330,070 = 330,070 : x
  2. Step 2: Convert to fraction form
    156,428/330,070 = 330,070/x
  3. Step 3: Cross multiply
    156,428x = 330,070 × 330,070
  4. Step 4: Simplify right side
    156,428x = 108,946,204,900
  5. Step 5: Solve for x
    x = 108,946,204,900/156,428
  6. Step 6: Final answer
    x = 696,462.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.