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Finding the Third Proportional to 298,457.02 and 644,178.95

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Solution

The third proportional to 298,457.02 and 644,178.95 is: 1,390,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,457.02 : 644,178.95 = 644,178.95 : x
  2. Step 2: Convert to fraction form
    298,457.02/644,178.95 = 644,178.95/x
  3. Step 3: Cross multiply
    298,457.02x = 644,178.95 × 644,178.95
  4. Step 4: Simplify right side
    298,457.02x = 414,966,525,457.79
  5. Step 5: Solve for x
    x = 414,966,525,457.79/298,457.02
  6. Step 6: Final answer
    x = 1,390,372.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.