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Finding the Third Proportional to 434,302.50 and 626,539.50

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Solution

The third proportional to 434,302.50 and 626,539.50 is: 903,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,302.50 : 626,539.50 = 626,539.50 : x
  2. Step 2: Convert to fraction form
    434,302.50/626,539.50 = 626,539.50/x
  3. Step 3: Cross multiply
    434,302.50x = 626,539.50 × 626,539.50
  4. Step 4: Simplify right side
    434,302.50x = 392,551,745,060.25
  5. Step 5: Solve for x
    x = 392,551,745,060.25/434,302.50
  6. Step 6: Final answer
    x = 903,867.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.