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Finding the Third Proportional to 290,692,470 and 637,883,900

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Solution

The third proportional to 290,692,470 and 637,883,900 is: 1,399,746,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,692,470 : 637,883,900 = 637,883,900 : x
  2. Step 2: Convert to fraction form
    290,692,470/637,883,900 = 637,883,900/x
  3. Step 3: Cross multiply
    290,692,470x = 637,883,900 × 637,883,900
  4. Step 4: Simplify right side
    290,692,470x = 406,895,869,879,209,984
  5. Step 5: Solve for x
    x = 406,895,869,879,209,984/290,692,470
  6. Step 6: Final answer
    x = 1,399,746,852.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.