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Finding the Third Proportional to 290,341.13 and 683,111.81

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Solution

The third proportional to 290,341.13 and 683,111.81 is: 1,607,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,341.13 : 683,111.81 = 683,111.81 : x
  2. Step 2: Convert to fraction form
    290,341.13/683,111.81 = 683,111.81/x
  3. Step 3: Cross multiply
    290,341.13x = 683,111.81 × 683,111.81
  4. Step 4: Simplify right side
    290,341.13x = 466,641,748,377.04
  5. Step 5: Solve for x
    x = 466,641,748,377.04/290,341.13
  6. Step 6: Final answer
    x = 1,607,218.92

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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.