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Finding the Third Proportional to 475,480,916 and 1,035,373,746

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Solution

The third proportional to 475,480,916 and 1,035,373,746 is: 2,254,556,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480,916 : 1,035,373,746 = 1,035,373,746 : x
  2. Step 2: Convert to fraction form
    475,480,916/1,035,373,746 = 1,035,373,746/x
  3. Step 3: Cross multiply
    475,480,916x = 1,035,373,746 × 1,035,373,746
  4. Step 4: Simplify right side
    475,480,916x = 1,071,998,793,906,072,576
  5. Step 5: Solve for x
    x = 1,071,998,793,906,072,576/475,480,916
  6. Step 6: Final answer
    x = 2,254,556,929.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.