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Finding the Third Proportional to 713,129 and 1,681,742

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Solution

The third proportional to 713,129 and 1,681,742 is: 3,965,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,129 : 1,681,742 = 1,681,742 : x
  2. Step 2: Convert to fraction form
    713,129/1,681,742 = 1,681,742/x
  3. Step 3: Cross multiply
    713,129x = 1,681,742 × 1,681,742
  4. Step 4: Simplify right side
    713,129x = 2,828,256,154,564
  5. Step 5: Solve for x
    x = 2,828,256,154,564/713,129
  6. Step 6: Final answer
    x = 3,965,981.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.