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Finding the Third Proportional to 478,386,090 and 749,465,473.50

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Solution

The third proportional to 478,386,090 and 749,465,473.50 is: 1,174,153,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,386,090 : 749,465,473.50 = 749,465,473.50 : x
  2. Step 2: Convert to fraction form
    478,386,090/749,465,473.50 = 749,465,473.50/x
  3. Step 3: Cross multiply
    478,386,090x = 749,465,473.50 × 749,465,473.50
  4. Step 4: Simplify right side
    478,386,090x = 561,698,495,968,579,200
  5. Step 5: Solve for x
    x = 561,698,495,968,579,200/478,386,090
  6. Step 6: Final answer
    x = 1,174,153,069.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.