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Finding the Third Proportional to 310,359 and 665,011.50

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Solution

The third proportional to 310,359 and 665,011.50 is: 1,424,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,359 : 665,011.50 = 665,011.50 : x
  2. Step 2: Convert to fraction form
    310,359/665,011.50 = 665,011.50/x
  3. Step 3: Cross multiply
    310,359x = 665,011.50 × 665,011.50
  4. Step 4: Simplify right side
    310,359x = 442,240,295,132.25
  5. Step 5: Solve for x
    x = 442,240,295,132.25/310,359
  6. Step 6: Final answer
    x = 1,424,931.43

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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.