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Finding the Third Proportional to 697,457 and 1,478,623

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Solution

The third proportional to 697,457 and 1,478,623 is: 3,134,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,457 : 1,478,623 = 1,478,623 : x
  2. Step 2: Convert to fraction form
    697,457/1,478,623 = 1,478,623/x
  3. Step 3: Cross multiply
    697,457x = 1,478,623 × 1,478,623
  4. Step 4: Simplify right side
    697,457x = 2,186,325,976,129
  5. Step 5: Solve for x
    x = 2,186,325,976,129/697,457
  6. Step 6: Final answer
    x = 3,134,710.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.