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Finding the Third Proportional to 486,378 and 777,001.50

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Solution

The third proportional to 486,378 and 777,001.50 is: 1,241,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,378 : 777,001.50 = 777,001.50 : x
  2. Step 2: Convert to fraction form
    486,378/777,001.50 = 777,001.50/x
  3. Step 3: Cross multiply
    486,378x = 777,001.50 × 777,001.50
  4. Step 4: Simplify right side
    486,378x = 603,731,331,002.25
  5. Step 5: Solve for x
    x = 603,731,331,002.25/486,378
  6. Step 6: Final answer
    x = 1,241,280.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.