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Finding the Third Proportional to 470,790 and 604,485

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Solution

The third proportional to 470,790 and 604,485 is: 776,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,790 : 604,485 = 604,485 : x
  2. Step 2: Convert to fraction form
    470,790/604,485 = 604,485/x
  3. Step 3: Cross multiply
    470,790x = 604,485 × 604,485
  4. Step 4: Simplify right side
    470,790x = 365,402,115,225
  5. Step 5: Solve for x
    x = 365,402,115,225/470,790
  6. Step 6: Final answer
    x = 776,146.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.