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Finding the Third Proportional to 375,280 and 561,047

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Solution

The third proportional to 375,280 and 561,047 is: 838,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,280 : 561,047 = 561,047 : x
  2. Step 2: Convert to fraction form
    375,280/561,047 = 561,047/x
  3. Step 3: Cross multiply
    375,280x = 561,047 × 561,047
  4. Step 4: Simplify right side
    375,280x = 314,773,736,209
  5. Step 5: Solve for x
    x = 314,773,736,209/375,280
  6. Step 6: Final answer
    x = 838,770.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.