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Finding the Third Proportional to 690,746,759 and 1,409,240,770

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Solution

The third proportional to 690,746,759 and 1,409,240,770 is: 2,875,090,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,746,759 : 1,409,240,770 = 1,409,240,770 : x
  2. Step 2: Convert to fraction form
    690,746,759/1,409,240,770 = 1,409,240,770/x
  3. Step 3: Cross multiply
    690,746,759x = 1,409,240,770 × 1,409,240,770
  4. Step 4: Simplify right side
    690,746,759x = 1,985,959,547,830,192,896
  5. Step 5: Solve for x
    x = 1,985,959,547,830,192,896/690,746,759
  6. Step 6: Final answer
    x = 2,875,090,649.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.