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Finding the Third Proportional to 455,984,760 and 924,657,826.50

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Solution

The third proportional to 455,984,760 and 924,657,826.50 is: 1,875,045,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,984,760 : 924,657,826.50 = 924,657,826.50 : x
  2. Step 2: Convert to fraction form
    455,984,760/924,657,826.50 = 924,657,826.50/x
  3. Step 3: Cross multiply
    455,984,760x = 924,657,826.50 × 924,657,826.50
  4. Step 4: Simplify right side
    455,984,760x = 854,992,096,107,704,064
  5. Step 5: Solve for x
    x = 854,992,096,107,704,064/455,984,760
  6. Step 6: Final answer
    x = 1,875,045,332.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.