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Finding the Third Proportional to 297,681 and 611,157

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Solution

The third proportional to 297,681 and 611,157 is: 1,254,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,681 : 611,157 = 611,157 : x
  2. Step 2: Convert to fraction form
    297,681/611,157 = 611,157/x
  3. Step 3: Cross multiply
    297,681x = 611,157 × 611,157
  4. Step 4: Simplify right side
    297,681x = 373,512,878,649
  5. Step 5: Solve for x
    x = 373,512,878,649/297,681
  6. Step 6: Final answer
    x = 1,254,742.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.