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Finding the Third Proportional to 312,043 and 470,820

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Solution

The third proportional to 312,043 and 470,820 is: 710,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,043 : 470,820 = 470,820 : x
  2. Step 2: Convert to fraction form
    312,043/470,820 = 470,820/x
  3. Step 3: Cross multiply
    312,043x = 470,820 × 470,820
  4. Step 4: Simplify right side
    312,043x = 221,671,472,400
  5. Step 5: Solve for x
    x = 221,671,472,400/312,043
  6. Step 6: Final answer
    x = 710,387.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.