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Finding the Third Proportional to 299,509.50 and 651,507

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Solution

The third proportional to 299,509.50 and 651,507 is: 1,417,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,509.50 : 651,507 = 651,507 : x
  2. Step 2: Convert to fraction form
    299,509.50/651,507 = 651,507/x
  3. Step 3: Cross multiply
    299,509.50x = 651,507 × 651,507
  4. Step 4: Simplify right side
    299,509.50x = 424,461,371,049
  5. Step 5: Solve for x
    x = 424,461,371,049/299,509.50
  6. Step 6: Final answer
    x = 1,417,188.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.