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Finding the Third Proportional to 461,754,783 and 715,592,774

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Solution

The third proportional to 461,754,783 and 715,592,774 is: 1,108,971,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754,783 : 715,592,774 = 715,592,774 : x
  2. Step 2: Convert to fraction form
    461,754,783/715,592,774 = 715,592,774/x
  3. Step 3: Cross multiply
    461,754,783x = 715,592,774 × 715,592,774
  4. Step 4: Simplify right side
    461,754,783x = 512,073,018,201,015,104
  5. Step 5: Solve for x
    x = 512,073,018,201,015,104/461,754,783
  6. Step 6: Final answer
    x = 1,108,971,768.25

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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.