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Finding the Third Proportional to 361,507 and 560,437

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Solution

The third proportional to 361,507 and 560,437 is: 868,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,507 : 560,437 = 560,437 : x
  2. Step 2: Convert to fraction form
    361,507/560,437 = 560,437/x
  3. Step 3: Cross multiply
    361,507x = 560,437 × 560,437
  4. Step 4: Simplify right side
    361,507x = 314,089,630,969
  5. Step 5: Solve for x
    x = 314,089,630,969/361,507
  6. Step 6: Final answer
    x = 868,834.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.