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Finding the Third Proportional to 583,281,348 and 1,376,890,710

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Solution

The third proportional to 583,281,348 and 1,376,890,710 is: 3,250,280,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,281,348 : 1,376,890,710 = 1,376,890,710 : x
  2. Step 2: Convert to fraction form
    583,281,348/1,376,890,710 = 1,376,890,710/x
  3. Step 3: Cross multiply
    583,281,348x = 1,376,890,710 × 1,376,890,710
  4. Step 4: Simplify right side
    583,281,348x = 1,895,828,027,284,304,128
  5. Step 5: Solve for x
    x = 1,895,828,027,284,304,128/583,281,348
  6. Step 6: Final answer
    x = 3,250,280,561.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.