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Finding the Third Proportional to 142,495,402 and 311,226,044

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Solution

The third proportional to 142,495,402 and 311,226,044 is: 679,752,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,495,402 : 311,226,044 = 311,226,044 : x
  2. Step 2: Convert to fraction form
    142,495,402/311,226,044 = 311,226,044/x
  3. Step 3: Cross multiply
    142,495,402x = 311,226,044 × 311,226,044
  4. Step 4: Simplify right side
    142,495,402x = 96,861,650,463,889,936
  5. Step 5: Solve for x
    x = 96,861,650,463,889,936/142,495,402
  6. Step 6: Final answer
    x = 679,752,813.81

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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.