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Finding the Third Proportional to 809,648,481 and 1,243,935,405

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Solution

The third proportional to 809,648,481 and 1,243,935,405 is: 1,911,169,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,648,481 : 1,243,935,405 = 1,243,935,405 : x
  2. Step 2: Convert to fraction form
    809,648,481/1,243,935,405 = 1,243,935,405/x
  3. Step 3: Cross multiply
    809,648,481x = 1,243,935,405 × 1,243,935,405
  4. Step 4: Simplify right side
    809,648,481x = 1,547,375,291,812,514,048
  5. Step 5: Solve for x
    x = 1,547,375,291,812,514,048/809,648,481
  6. Step 6: Final answer
    x = 1,911,169,264.35

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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.