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Finding the Third Proportional to 388,360.50 and 830,691

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Solution

The third proportional to 388,360.50 and 830,691 is: 1,776,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,360.50 : 830,691 = 830,691 : x
  2. Step 2: Convert to fraction form
    388,360.50/830,691 = 830,691/x
  3. Step 3: Cross multiply
    388,360.50x = 830,691 × 830,691
  4. Step 4: Simplify right side
    388,360.50x = 690,047,537,481
  5. Step 5: Solve for x
    x = 690,047,537,481/388,360.50
  6. Step 6: Final answer
    x = 1,776,822.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.