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Finding the Third Proportional to 645,552 and 1,409,202

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Solution

The third proportional to 645,552 and 1,409,202 is: 3,076,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,552 : 1,409,202 = 1,409,202 : x
  2. Step 2: Convert to fraction form
    645,552/1,409,202 = 1,409,202/x
  3. Step 3: Cross multiply
    645,552x = 1,409,202 × 1,409,202
  4. Step 4: Simplify right side
    645,552x = 1,985,850,276,804
  5. Step 5: Solve for x
    x = 1,985,850,276,804/645,552
  6. Step 6: Final answer
    x = 3,076,204.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.