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Finding the Third Proportional to 720,405 and 1,567,658

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Solution

The third proportional to 720,405 and 1,567,658 is: 3,411,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,405 : 1,567,658 = 1,567,658 : x
  2. Step 2: Convert to fraction form
    720,405/1,567,658 = 1,567,658/x
  3. Step 3: Cross multiply
    720,405x = 1,567,658 × 1,567,658
  4. Step 4: Simplify right side
    720,405x = 2,457,551,604,964
  5. Step 5: Solve for x
    x = 2,457,551,604,964/720,405
  6. Step 6: Final answer
    x = 3,411,347.24

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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.