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Finding the Third Proportional to 720,624 and 1,564,320

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Solution

The third proportional to 720,624 and 1,564,320 is: 3,395,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,624 : 1,564,320 = 1,564,320 : x
  2. Step 2: Convert to fraction form
    720,624/1,564,320 = 1,564,320/x
  3. Step 3: Cross multiply
    720,624x = 1,564,320 × 1,564,320
  4. Step 4: Simplify right side
    720,624x = 2,447,097,062,400
  5. Step 5: Solve for x
    x = 2,447,097,062,400/720,624
  6. Step 6: Final answer
    x = 3,395,802.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.