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Finding the Third Proportional to 201,309,514,123 and 312,571,398,331

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Solution

The third proportional to 201,309,514,123 and 312,571,398,331 is: 485,326,684,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,309,514,123 : 312,571,398,331 = 312,571,398,331 : x
  2. Step 2: Convert to fraction form
    201,309,514,123/312,571,398,331 = 312,571,398,331/x
  3. Step 3: Cross multiply
    201,309,514,123x = 312,571,398,331 × 312,571,398,331
  4. Step 4: Simplify right side
    201,309,514,123x = 97,700,879,054,596,674,158,592
  5. Step 5: Solve for x
    x = 97,700,879,054,596,674,158,592/201,309,514,123
  6. Step 6: Final answer
    x = 485,326,684,534.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.