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Finding the Third Proportional to 181,085,640 and 392,254,789

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Solution

The third proportional to 181,085,640 and 392,254,789 is: 849,674,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,085,640 : 392,254,789 = 392,254,789 : x
  2. Step 2: Convert to fraction form
    181,085,640/392,254,789 = 392,254,789/x
  3. Step 3: Cross multiply
    181,085,640x = 392,254,789 × 392,254,789
  4. Step 4: Simplify right side
    181,085,640x = 153,863,819,493,434,528
  5. Step 5: Solve for x
    x = 153,863,819,493,434,528/181,085,640
  6. Step 6: Final answer
    x = 849,674,328.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.