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Finding the Third Proportional to 71,022,080 and 153,232,384

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Solution

The third proportional to 71,022,080 and 153,232,384 is: 330,603,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,022,080 : 153,232,384 = 153,232,384 : x
  2. Step 2: Convert to fraction form
    71,022,080/153,232,384 = 153,232,384/x
  3. Step 3: Cross multiply
    71,022,080x = 153,232,384 × 153,232,384
  4. Step 4: Simplify right side
    71,022,080x = 23,480,163,506,323,456
  5. Step 5: Solve for x
    x = 23,480,163,506,323,456/71,022,080
  6. Step 6: Final answer
    x = 330,603,715.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.