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Finding the Third Proportional to 257,018,628 and 391,554,214.50

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Solution

The third proportional to 257,018,628 and 391,554,214.50 is: 596,512,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018,628 : 391,554,214.50 = 391,554,214.50 : x
  2. Step 2: Convert to fraction form
    257,018,628/391,554,214.50 = 391,554,214.50/x
  3. Step 3: Cross multiply
    257,018,628x = 391,554,214.50 × 391,554,214.50
  4. Step 4: Simplify right side
    257,018,628x = 153,314,702,892,712,000
  5. Step 5: Solve for x
    x = 153,314,702,892,712,000/257,018,628
  6. Step 6: Final answer
    x = 596,512,027.50

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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.