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Finding the Third Proportional to 145,893,932.79 and 312,638,621.06

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Solution

The third proportional to 145,893,932.79 and 312,638,621.06 is: 669,958,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893,932.79 : 312,638,621.06 = 312,638,621.06 : x
  2. Step 2: Convert to fraction form
    145,893,932.79/312,638,621.06 = 312,638,621.06/x
  3. Step 3: Cross multiply
    145,893,932.79x = 312,638,621.06 × 312,638,621.06
  4. Step 4: Simplify right side
    145,893,932.79x = 97,742,907,379,861,472
  5. Step 5: Solve for x
    x = 97,742,907,379,861,472/145,893,932.79
  6. Step 6: Final answer
    x = 669,958,685.13

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Why These Related Problems?

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