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Finding the Third Proportional to 164,856,798 and 256,360,153.50

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Solution

The third proportional to 164,856,798 and 256,360,153.50 is: 398,652,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,856,798 : 256,360,153.50 = 256,360,153.50 : x
  2. Step 2: Convert to fraction form
    164,856,798/256,360,153.50 = 256,360,153.50/x
  3. Step 3: Cross multiply
    164,856,798x = 256,360,153.50 × 256,360,153.50
  4. Step 4: Simplify right side
    164,856,798x = 65,720,528,302,543,560
  5. Step 5: Solve for x
    x = 65,720,528,302,543,560/164,856,798
  6. Step 6: Final answer
    x = 398,652,218.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.