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Finding the Third Proportional to 689,580,985.50 and 1,070,706,070.13

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Solution

The third proportional to 689,580,985.50 and 1,070,706,070.13 is: 1,662,475,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,580,985.50 : 1,070,706,070.13 = 1,070,706,070.13 : x
  2. Step 2: Convert to fraction form
    689,580,985.50/1,070,706,070.13 = 1,070,706,070.13/x
  3. Step 3: Cross multiply
    689,580,985.50x = 1,070,706,070.13 × 1,070,706,070.13
  4. Step 4: Simplify right side
    689,580,985.50x = 1,146,411,488,602,521,472
  5. Step 5: Solve for x
    x = 1,146,411,488,602,521,472/689,580,985.50
  6. Step 6: Final answer
    x = 1,662,475,492.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.