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Finding the Third Proportional to 340,078 and 499,746

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Solution

The third proportional to 340,078 and 499,746 is: 734,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,078 : 499,746 = 499,746 : x
  2. Step 2: Convert to fraction form
    340,078/499,746 = 499,746/x
  3. Step 3: Cross multiply
    340,078x = 499,746 × 499,746
  4. Step 4: Simplify right side
    340,078x = 249,746,064,516
  5. Step 5: Solve for x
    x = 249,746,064,516/340,078
  6. Step 6: Final answer
    x = 734,378.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.