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Finding the Third Proportional to 322,430.63 and 692,428.50

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Solution

The third proportional to 322,430.63 and 692,428.50 is: 1,487,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,430.63 : 692,428.50 = 692,428.50 : x
  2. Step 2: Convert to fraction form
    322,430.63/692,428.50 = 692,428.50/x
  3. Step 3: Cross multiply
    322,430.63x = 692,428.50 × 692,428.50
  4. Step 4: Simplify right side
    322,430.63x = 479,457,227,612.25
  5. Step 5: Solve for x
    x = 479,457,227,612.25/322,430.63
  6. Step 6: Final answer
    x = 1,487,008.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.