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Finding the Third Proportional to 328,229,423 and 519,742,979

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Solution

The third proportional to 328,229,423 and 519,742,979 is: 822,999,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229,423 : 519,742,979 = 519,742,979 : x
  2. Step 2: Convert to fraction form
    328,229,423/519,742,979 = 519,742,979/x
  3. Step 3: Cross multiply
    328,229,423x = 519,742,979 × 519,742,979
  4. Step 4: Simplify right side
    328,229,423x = 270,132,764,219,794,432
  5. Step 5: Solve for x
    x = 270,132,764,219,794,432/328,229,423
  6. Step 6: Final answer
    x = 822,999,844.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.