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Finding the Third Proportional to 713,758 and 1,050,918

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Solution

The third proportional to 713,758 and 1,050,918 is: 1,547,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,758 : 1,050,918 = 1,050,918 : x
  2. Step 2: Convert to fraction form
    713,758/1,050,918 = 1,050,918/x
  3. Step 3: Cross multiply
    713,758x = 1,050,918 × 1,050,918
  4. Step 4: Simplify right side
    713,758x = 1,104,428,642,724
  5. Step 5: Solve for x
    x = 1,104,428,642,724/713,758
  6. Step 6: Final answer
    x = 1,547,343.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.