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Finding the Third Proportional to 307,913 and 719,423

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Solution

The third proportional to 307,913 and 719,423 is: 1,680,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,913 : 719,423 = 719,423 : x
  2. Step 2: Convert to fraction form
    307,913/719,423 = 719,423/x
  3. Step 3: Cross multiply
    307,913x = 719,423 × 719,423
  4. Step 4: Simplify right side
    307,913x = 517,569,452,929
  5. Step 5: Solve for x
    x = 517,569,452,929/307,913
  6. Step 6: Final answer
    x = 1,680,895.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.