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Finding the Third Proportional to 720,628 and 1,564,328

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Solution

The third proportional to 720,628 and 1,564,328 is: 3,395,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,628 : 1,564,328 = 1,564,328 : x
  2. Step 2: Convert to fraction form
    720,628/1,564,328 = 1,564,328/x
  3. Step 3: Cross multiply
    720,628x = 1,564,328 × 1,564,328
  4. Step 4: Simplify right side
    720,628x = 2,447,122,091,584
  5. Step 5: Solve for x
    x = 2,447,122,091,584/720,628
  6. Step 6: Final answer
    x = 3,395,818.77

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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.