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Finding the Third Proportional to 305,842 and 719,585

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Solution

The third proportional to 305,842 and 719,585 is: 1,693,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,842 : 719,585 = 719,585 : x
  2. Step 2: Convert to fraction form
    305,842/719,585 = 719,585/x
  3. Step 3: Cross multiply
    305,842x = 719,585 × 719,585
  4. Step 4: Simplify right side
    305,842x = 517,802,572,225
  5. Step 5: Solve for x
    x = 517,802,572,225/305,842
  6. Step 6: Final answer
    x = 1,693,039.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.