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Finding the Third Proportional to 145,429,490 and 311,014,372

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Solution

The third proportional to 145,429,490 and 311,014,372 is: 665,132,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,490 : 311,014,372 = 311,014,372 : x
  2. Step 2: Convert to fraction form
    145,429,490/311,014,372 = 311,014,372/x
  3. Step 3: Cross multiply
    145,429,490x = 311,014,372 × 311,014,372
  4. Step 4: Simplify right side
    145,429,490x = 96,729,939,590,554,384
  5. Step 5: Solve for x
    x = 96,729,939,590,554,384/145,429,490
  6. Step 6: Final answer
    x = 665,132,907.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.