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Finding the Third Proportional to 257,018,715 and 391,554,328.50

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Solution

The third proportional to 257,018,715 and 391,554,328.50 is: 596,512,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018,715 : 391,554,328.50 = 391,554,328.50 : x
  2. Step 2: Convert to fraction form
    257,018,715/391,554,328.50 = 391,554,328.50/x
  3. Step 3: Cross multiply
    257,018,715x = 391,554,328.50 × 391,554,328.50
  4. Step 4: Simplify right side
    257,018,715x = 153,314,792,167,085,920
  5. Step 5: Solve for x
    x = 153,314,792,167,085,920/257,018,715
  6. Step 6: Final answer
    x = 596,512,172.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.