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Finding the Third Proportional to 720,398 and 1,567,644

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Solution

The third proportional to 720,398 and 1,567,644 is: 3,411,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,398 : 1,567,644 = 1,567,644 : x
  2. Step 2: Convert to fraction form
    720,398/1,567,644 = 1,567,644/x
  3. Step 3: Cross multiply
    720,398x = 1,567,644 × 1,567,644
  4. Step 4: Simplify right side
    720,398x = 2,457,507,710,736
  5. Step 5: Solve for x
    x = 2,457,507,710,736/720,398
  6. Step 6: Final answer
    x = 3,411,319.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.