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Finding the Third Proportional to 259,020,130.50 and 398,534,491.13

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Solution

The third proportional to 259,020,130.50 and 398,534,491.13 is: 613,194,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,020,130.50 : 398,534,491.13 = 398,534,491.13 : x
  2. Step 2: Convert to fraction form
    259,020,130.50/398,534,491.13 = 398,534,491.13/x
  3. Step 3: Cross multiply
    259,020,130.50x = 398,534,491.13 × 398,534,491.13
  4. Step 4: Simplify right side
    259,020,130.50x = 158,829,740,616,262,688
  5. Step 5: Solve for x
    x = 158,829,740,616,262,688/259,020,130.50
  6. Step 6: Final answer
    x = 613,194,581.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.