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Finding the Third Proportional to 261,076,294 and 391,614,442

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Solution

The third proportional to 261,076,294 and 391,614,442 is: 587,421,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,076,294 : 391,614,442 = 391,614,442 : x
  2. Step 2: Convert to fraction form
    261,076,294/391,614,442 = 391,614,442/x
  3. Step 3: Cross multiply
    261,076,294x = 391,614,442 × 391,614,442
  4. Step 4: Simplify right side
    261,076,294x = 153,361,871,182,971,360
  5. Step 5: Solve for x
    x = 153,361,871,182,971,360/261,076,294
  6. Step 6: Final answer
    x = 587,421,664.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.