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Finding the Third Proportional to 678,547.13 and 1,357,026.75

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Solution

The third proportional to 678,547.13 and 1,357,026.75 is: 2,713,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,547.13 : 1,357,026.75 = 1,357,026.75 : x
  2. Step 2: Convert to fraction form
    678,547.13/1,357,026.75 = 1,357,026.75/x
  3. Step 3: Cross multiply
    678,547.13x = 1,357,026.75 × 1,357,026.75
  4. Step 4: Simplify right side
    678,547.13x = 1,841,521,600,215.56
  5. Step 5: Solve for x
    x = 1,841,521,600,215.56/678,547.13
  6. Step 6: Final answer
    x = 2,713,918.51

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.