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Finding the Third Proportional to 470,308 and 720,654

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Solution

The third proportional to 470,308 and 720,654 is: 1,104,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,308 : 720,654 = 720,654 : x
  2. Step 2: Convert to fraction form
    470,308/720,654 = 720,654/x
  3. Step 3: Cross multiply
    470,308x = 720,654 × 720,654
  4. Step 4: Simplify right side
    470,308x = 519,342,187,716
  5. Step 5: Solve for x
    x = 519,342,187,716/470,308
  6. Step 6: Final answer
    x = 1,104,259.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.