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Finding the Third Proportional to 432,397.50 and 920,929.50

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Solution

The third proportional to 432,397.50 and 920,929.50 is: 1,961,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,397.50 : 920,929.50 = 920,929.50 : x
  2. Step 2: Convert to fraction form
    432,397.50/920,929.50 = 920,929.50/x
  3. Step 3: Cross multiply
    432,397.50x = 920,929.50 × 920,929.50
  4. Step 4: Simplify right side
    432,397.50x = 848,111,143,970.25
  5. Step 5: Solve for x
    x = 848,111,143,970.25/432,397.50
  6. Step 6: Final answer
    x = 1,961,415.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.