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Finding the Third Proportional to 328,929 and 717,258

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Solution

The third proportional to 328,929 and 717,258 is: 1,564,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,929 : 717,258 = 717,258 : x
  2. Step 2: Convert to fraction form
    328,929/717,258 = 717,258/x
  3. Step 3: Cross multiply
    328,929x = 717,258 × 717,258
  4. Step 4: Simplify right side
    328,929x = 514,459,038,564
  5. Step 5: Solve for x
    x = 514,459,038,564/328,929
  6. Step 6: Final answer
    x = 1,564,042.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.