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Finding the Third Proportional to 328,963.50 and 717,417

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Solution

The third proportional to 328,963.50 and 717,417 is: 1,564,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,963.50 : 717,417 = 717,417 : x
  2. Step 2: Convert to fraction form
    328,963.50/717,417 = 717,417/x
  3. Step 3: Cross multiply
    328,963.50x = 717,417 × 717,417
  4. Step 4: Simplify right side
    328,963.50x = 514,687,151,889
  5. Step 5: Solve for x
    x = 514,687,151,889/328,963.50
  6. Step 6: Final answer
    x = 1,564,572.22

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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.